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Journal articles on the topic 'P-concavità'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

Gallo, Marco, and Marco Squassina. "Concavity and perturbed concavity for p-Laplace equations." Journal of Differential Equations 440 (September 2025): 113452. https://doi.org/10.1016/j.jde.2025.113452.

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2

Hou, Qing-hu, and Guojie Li. "Log-concavity of P-recursive sequences." Journal of Symbolic Computation 107 (November 2021): 251–68. http://dx.doi.org/10.1016/j.jsc.2021.03.004.

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3

Ahmia, Moussa, and Hacène Belbachir. "Preserving log-concavity for p,q-binomial coefficient." Discrete Mathematics, Algorithms and Applications 11, no. 02 (2019): 1950017. http://dx.doi.org/10.1142/s1793830919500174.

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We study the log-concavity of a sequence of [Formula: see text]-binomial coefficients located on a ray of the [Formula: see text]-Pascal triangle for certain directions, and we establish the preserving log-concavity of linear transformations associated to [Formula: see text]-Pascal triangle.

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4

Souleiman, F., I. Zderic, T. Pastor, et al. "INFLUENCE OF CARTILAGE LOSS ON SHOULDER INSTABILITY: A BIOMECHANICAL STUDY." Orthopaedic Proceedings 105-B, SUPP_8 (2023): 82. http://dx.doi.org/10.1302/1358-992x.2023.8.082.

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Glenohumeral joint injuries frequently result in shoulder instability. However, the biomechanical effect of cartilage loss on shoulder stability remains unknown. The aim of the current study was to investigate biomechanically the effect of two severity stages of cartilage loss in different dislocation directions on shoulder stability. Joint dislocation was provoked for 11 human cadaveric glenoids in seven different dislocation directions between 3 o'clock (anterior) to 9 o'clock (posterior) dislocation. Shoulder stability ratio (SSR) and concavity gradient were assessed in intact condition, an

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5

Arazy, Jonathan, and Pei-Kee Lin. "On p-convexity and q-concavity of unitary matrix spaces." Integral Equations and Operator Theory 8, no. 3 (1985): 295–313. http://dx.doi.org/10.1007/bf01202902.

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6

Ranieri, V. Marco, Haibo Zhang, Luciana Mascia, et al. "Pressure–Time Curve Predicts Minimally Injurious Ventilatory Strategy in an Isolated Rat Lung Model." Anesthesiology 93, no. 5 (2000): 1320–28. http://dx.doi.org/10.1097/00000542-200011000-00027.

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Background We tested the hypothesis that the pressure-time (P-t) curve during constant flow ventilation can be used to set a noninjurious ventilatory strategy. Methods In an isolated, nonperfused, lavaged model of acute lung injury, tidal volume and positive end-expiratory pressure were set to obtain: (1) a straight P-t curve (constant compliance, minimal stress); (2) a downward concavity in the P-t curve (increasing compliance, low volume stress); and (3) an upward concavity in the P-t curve (decreasing compliance, high volume stress). The P-t curve was fitted to: P = a. tb +c, where b descri

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7

Dodds, P. G., T. K. Dodds, and F. A. Sukochev. "On p-Convexity and q-Concavity in Non-Commutative Symmetric Spaces." Integral Equations and Operator Theory 78, no. 1 (2013): 91–114. http://dx.doi.org/10.1007/s00020-013-2082-0.

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8

Schmid, Annina B., Linda Dyer, Thomas Böni, Ulrike Held, and Florian Brunner. "Paraspinal Muscle Activity During Symmetrical and Asymmetrical Weight Training in Idiopathic Scoliosis." Journal of Sport Rehabilitation 19, no. 3 (2010): 315–27. http://dx.doi.org/10.1123/jsr.19.3.315.

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Context:Various studies report decreased muscle activation in the concavity of the curve in patients with scoliosis. Such decreased muscle-performance capacity could lead to sustained postural deficits.Objective:To investigate whether specific asymmetrical sports therapy exercises rather than symmetrical back strengthening can increase EMG amplitudes of paraspinal muscles in the concavity of the curve.Design:Cross-sectional.Setting:Laboratory.Participants:16 patients with idiopathic scoliosis.Interventions:Patients performed 4 back-strengthening exercises (front press, lat pull-down, roman cha

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9

Schliemann, Benedikt, Michael Raschke, Philipp Michel, et al. "It’s more than size that matters: The role of glenoid concavity in shoulder instability with anterior bone loss." Orthopaedic Journal of Sports Medicine 9, no. 7_suppl4 (2021): 2325967121S0019. http://dx.doi.org/10.1177/2325967121s00198.

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Objectives: The mechanism of concavity-compression is known to be a key factor for glenohumeral stability in the mid-range of motion. This stabilizing effect is impaired by traumatic bone loss at the anterior glenoid rim. Currently, a critical threshold based on the defect size is used as a decisive criterion for surgical treatment. However, recent studies using finite element method (FEM)-simulations indicate that glenoid concavity is essential for an assessment of remaining glenohumeral stability. To date, there is no biomechanical investigation involving glenoid concavity in combination wit

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10

Brzozowski, Michał. "Weighted exponential inequality for differentially subordinate martingales." Archiv der Mathematik 116, no. 6 (2021): 707–20. http://dx.doi.org/10.1007/s00013-021-01600-5.

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AbstractThe paper contains a study of weighted exponential inequalities for differentially subordinate martingales, under the assumption that the underlying weight satisfies Muckenhoupt’s condition $$A_{\infty }$$ A ∞ . The proof exploits certain functions enjoying appropriate size conditions and concavity. The martingales are adapted, uniformly integrable, and càdlàg - we do not assume any path-continuity restrictions. Because of this generality, we need to handle jump parts of processes which forces us to construct a Bellman function satisfying a stronger condition than local concavity. As a

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11

Liu, Qian, Chenjiu Pang, Changgeng Liu, et al. "Correlations among Corneal Biomechanical Parameters, Stiffness, and Thickness Measured Using Corvis ST and Pentacam in Patients with Ocular Hypertension." Journal of Ophthalmology 2022 (December 3, 2022): 1–9. http://dx.doi.org/10.1155/2022/7387581.

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Background. To preliminary explore the correlations among corneal biomechanical parameters, stiffness, and thickness in patients with ocular hypertension (OHT) before and after treatment with topical antiglaucoma medications. Methods. This was a retrospective study that included 35 eyes with newly diagnosed OHT. Axial length (AL), apical corneal thickness, and minimum corneal thickness were measured using Pentacam. The lengths, velocities, and times of the first and second corneal applanations (A1L, A1V, A1T, A2L, A2V, and A2T, respectively); the highest concavity radius; highest concavity pea

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12

Kuang, Yao, and Raphael Douady. "Has the Market Started to Collapse or Will It Resist?" Stats 5, no. 2 (2022): 401–7. http://dx.doi.org/10.3390/stats5020023.

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Many people are concerned about the stock market in 2022 as it faces several threats, from rising inflation rates to geopolitical events. The S&P 500 Index has already dropped about 10% from the peak in early January 2022 until the end of February 2022. This paper aims at updating the crisis indicator to predict when the market may experience a significant drawdown, which we developed in Crisis Risk Prediction with Concavity from Polymodel (2022). This indicator uses regime switching and Polymodel theory to calculate the market concavity. We found that concavity had not increased in the pa

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13

Guo, Laigang, Chun-Ming Yuan, and Xiao-Shan Gao. "A Generalization of the Concavity of Rényi Entropy Power." Entropy 23, no. 12 (2021): 1593. http://dx.doi.org/10.3390/e23121593.

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Recently, Savaré-Toscani proved that the Rényi entropy power of general probability densities solving the p-nonlinear heat equation in Rn is a concave function of time under certain conditions of three parameters n,p,μ, which extends Costa’s concavity inequality for Shannon’s entropy power to the Rényi entropy power. In this paper, we give a condition Φ(n,p,μ) of n,p,μ under which the concavity of the Rényi entropy power is valid. The condition Φ(n,p,μ) contains Savaré-Toscani’s condition as a special case and much more cases. Precisely, the points (n,p,μ) satisfying Savaré-Toscani’s condition

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14

Fang, I.-Mo, Hsin-Yi Hsu, Wan-Ling Chiang, Yi-Ling Shih, and Chia-Ling Han. "Correlation between Visual Acuity and Optical Coherence Tomography Angiography Parameters in Unilateral Idiopathic Epiretinal Membrane." Journal of Clinical Medicine 10, no. 1 (2020): 26. http://dx.doi.org/10.3390/jcm10010026.

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Background: The tangential traction by idiopathic epiretinal membrane (iERM) may alter the hemodynamics of the macula. We investigated the correlation between visual acuity and the optical coherence tomography angiography (OCTA) parameters in unilateral iERM. Methods: We included 61 eyes of 61 consecutive patients with unilateral iERM between January 2018 and December 2018. The flow area of the retinal superficial capillary plexus (SCP), deep capillary plexus (DCP), and choroidal capillary plexus (CCP) were measured using OCTA. The normal fellow eyes were used for comparison. The iERM patients

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15

RUSKAI, MARY BETH. "LIEB'S SIMPLE PROOF OF CONCAVITY OF (A, B) ↦ Tr Ap K† B1-p K AND REMARKS ON RELATED INEQUALITIES." International Journal of Quantum Information 03, no. 03 (2005): 579–90. http://dx.doi.org/10.1142/s0219749905001109.

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A simple, self-contained proof is presented for the concavity of the map (A, B) ↦ Tr Ap K† B1-p K. The author makes no claim to originality; this paper gives Lieb's original argument in its simplest, rather than its most general, form. A sketch of the chain of implications from this result to concavity of A ↦ Tr eK+ log A is then presented. An independent elementary proof is given for the joint convexity of the map [Formula: see text], which plays a key role in entropy inequalities.

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16

Ijaz, Moiza, Saira Ibrahim, Ayesha Aslam, Abdul Rehman, Sameena Younis, and Ammara Shrafat. "Evaluation of Mandibular Ridge Lingual Concavity Using Cone Beam Computed Tomography." Journal of Bahria University Medical and Dental College 10, no. 1 (2019): 22–25. http://dx.doi.org/10.51985/jbumdc2019062.

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Objective: To evaluate the type and depth of lingual concavity in posterior mandible using pre-treatment CBCT (Cone Beam Computed Tomography) images for dental implants. Study Design and Setting: A cross-sectional study was designed and conducted on pre-treatment CBCT scans of 75 patients at Armed Forces Institute of Dentistry, Rawalpindi, Pakistan from February 2018 to November 2018. Methodology: Pre-treatment CBCT scans of 75 patients were selected and following parameters were measured: type of ridge (undercut, parallel, convex), ridge width, ridge height, depth of lingual concavity, concav

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17

Wolski, Grzegorz J., Paulina Nowicka-Krawczyk, and William R. Buck. "Plagiothecium schofieldii, a new species from the Aleutian Islands (Alaska, USA)." PhytoKeys 184 (November 5, 2021): 127–38. http://dx.doi.org/10.3897/phytokeys.184.69970.

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Plagiothecium schofieldiisp. nov. is described from the Aleutian Islands, Alaska, U.S.A. Some morphological features of this species correspond to P. lamprostachys (Southern Hemisphere species); however, Plagiothecium schofieldii is genetically and morphologically different from this and other common Northern Hemisphere species e.g., P. denticulatum, P. platyphyllum, or P. ruthei. The most important distinguishing morphological features differentiating this species are: the arrangement of the leaves on the stem; dimensions, concavity and symmetry of the leaves; dimensions of cells and their ar

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18

Wolski, Grzegorz J., Paulina Nowicka-Krawczyk, and William R. Buck. "Plagiothecium schofieldii, a new species from the Aleutian Islands (Alaska, USA)." PhytoKeys 184 (November 5, 2021): 127–38. https://doi.org/10.3897/phytokeys.184.69970.

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Plagiothecium schofieldii sp. nov. is described from the Aleutian Islands, Alaska, U.S.A. Some morphological features of this species correspond to P. lamprostachys (Southern Hemisphere species); however, Plagiothecium schofieldii is genetically and morphologically different from this and other common Northern Hemisphere species e.g., P. denticulatum, P. platyphyllum, or P. ruthei. The most important distinguishing morphological features differentiating this species are: the arrangement of the leaves on the stem; dimensions, concavity and symmetry of the leaves; dimensions of cells and their a

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19

Kuang, Yao, and Raphael Douady. "Crisis risk prediction with concavity from Polymodel." Journal of Dynamics & Games 9, no. 1 (2022): 97. http://dx.doi.org/10.3934/jdg.2021027.

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<p style='text-indent:20px;'>Financial crises are an important research topic because of their impact on the economy, businesses, and populations. However, prior research tends to generate reactive systemic risk measures, in the sense that the measure surges after the crisis starts. Few of them succeed in warning of financial crises in advance. In this paper, we first sketch a toy model that produces normal mixture distributions based on a dynamic regime switching model. We derive that the relative concavity among various indices tends to increase before a crisis. Using Polymodel theory,

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20

Gibson, J. N. A., M. J. McMaster, C. M. Scrimgeour, P. J. Stoward, and M. J. Rennie. "Rates of muscle protein synthesis in paraspinal muscles: Lateral disparity in children with idiopathic scoliosis." Clinical Science 75, no. 1 (1988): 79–83. http://dx.doi.org/10.1042/cs0750079.

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1. The rate of paraspinal (multifidus) muscle protein synthesis was measured bilaterally at the top, apex and bottom of the thoracic curve in nine children with an idiopathic scoliosis, using the stable-isotope-labelled amino acid l-[1-13C]leucine. 2. No significant difference was observed in rates of muscle protein synthesis between the two sides of the spine, at the levels of the first vertebrae in neutral alignment at the top and bottom of the curve. However, in every patient, at the apex of the spinal curve, synthesis was higher on the convexity than on the concavity (0.077 ±0.04 %/h conve

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21

Chang, Shuting, and Yaojun Ye. "Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity." Electronic Research Archive 32, no. 11 (2024): 6225–34. http://dx.doi.org/10.3934/era.2024289.

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<p>This paper investigated the blow-up properties of solutions to the initial value problem for a fourth-order nonlinear parabolic equation with an exponential source term. By using an improved concavity method, we obtained upper and lower bound estimates for the blow-up time of the solution.</p>

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22

Nikoufar, Ismail. "A Perspective Approach for Characterization of Lieb Concavity Theorem." Demonstratio Mathematica 49, no. 4 (2016): 463–69. http://dx.doi.org/10.1515/dema-2016-0040.

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Abstract Lieb’s extension theorem holds for generalized p + q ∈ [0; 1] and Ando convexity theorem holds for q - r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p+q ≤ 0. We also characterize some auxiliary results including Ando theorem for q-r ≤ 1.

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23

Souleiman, F., I. Zderic, T. Pastor, et al. "OSTEOCHONDRAL GLENOID LOSS: REMAINING GLENOID DEPTH AND CONCAVITY ARE STRONGER PREDICTIVE PARAMETERS FOR SHOULDER INSTABILITY THAN DEFECT SIZE." Orthopaedic Proceedings 105-B, SUPP_8 (2023): 86. http://dx.doi.org/10.1302/1358-992x.2023.8.086.

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Osteochondral glenoid loss is associated with recurrent shoulder instability. The critical threshold for surgical stabilization is multidimensional and conclusively unknown. The aim of this work was to provide a well- measurable surrogate parameter of an unstable shoulder joint for the frequent anterior-inferior dislocation direction.The shoulder stability ratio (SSR) of 10 paired human cadaveric glenoids was determined in anterior-inferior dislocation direction. Osteochondral defects were simulated by gradually removing osteochondral structures in 5%-stages up to 20% of the intact diameter. T

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24

Wang, Yu-Zhao, and Yan-Mei Wang. "The concavity of Rényi entropy power for the parabolic p-Laplace equations and applications." manuscripta mathematica 160, no. 3-4 (2019): 509–22. http://dx.doi.org/10.1007/s00229-019-01118-9.

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25

He, Qiujin, Chunxia Bu, and Rongling Yang. "A Generalization of Lieb concavity theorem." AIMS Mathematics 9, no. 5 (2024): 12305–14. http://dx.doi.org/10.3934/math.2024601.

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<abstract><p>Lieb concavity theorem, successfully solved the Wigner-Yanase-Dyson conjecture, which is a very important theorem, and there are many proofs of it. Generalization of the Lieb concavity theorem has been obtained by Huang, which implies that it is jointly concave for any nonnegative matrix monotone function $ f(x) $ over $ \left(\operatorname{Tr}\left[\wedge^{k}(A^{\frac{qs}{2}}K^{\ast}B^{sp}KA^{\frac{sq}{2}})^{\frac{1}{s}}\right]\right)^{\frac{1}{k}} $. In this manuscript, we obtained $ \left(\operatorname{Tr}\left[\wedge^{k}(f(A^{\frac{qs}{2}})K^{\ast}f(B^{sp})Kf(A^{\f

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26

Ranieri, V. Marco, Luciana Mascia, Tommaso Fiore, Francesco Bruno, Antonio Brienza, and Rocco Giuliani. "Cardiorespiratory Effects of Positive End-expiratory Pressure during Progressive Tidal Volume Reduction (Permissive Hypercapnia) in Patients with Acute Respiratory Distress Syndrome." Anesthesiology 83, no. 4 (1995): 710–20. http://dx.doi.org/10.1097/00000542-199510000-00010.

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Background In patients with acute respiratory distress syndrome (ARDS), the ventilatory approach is based on tidal volume (VT) of 10-15 ml/kg and positive end-expiratory pressure (PEEP). To avoid further pulmonary injury, decreasing VT and allowing PaCO2 to increase (permissive hypercapnia) has been suggested. Effects of 10 cmH2O of PEEP on respiratory mechanics, hemodynamics, and gas exchange were compared during mechanical ventilation with conventional (10-15 ml/kg) and low (5-8 ml/kg) VT. Methods Nine sedated and paralyzed patients were studied. VT was decreased gradually (50 ml every 20-30

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27

Zuckerman, Scott L., Christopher S. Lai, Yong Shen, et al. "Incidence and risk factors of iatrogenic coronal malalignment after adult spinal deformity surgery: a single-center experience." Journal of Neurosurgery: Spine 36, no. 4 (2022): 585–94. http://dx.doi.org/10.3171/2021.6.spine21575.

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OBJECTIVE The authors’ objectives were: 1) to evaluate the incidence and risk factors of iatrogenic coronal malalignment (CM), and 2) to assess the outcomes of patients with all three types of postoperative CM (iatrogenic vs unchanged/worsened vs improved but persistent). METHODS A single-institution, retrospective cohort study was performed on adult spinal deformity (ASD) patients who underwent > 6-level fusion from 2015 to 2019. Iatrogenic CM was defined as immediate postoperative C7 coronal vertical axis (CVA) ≥ 3 cm in patients with preoperative CVA < 3 cm. Additional subcategories o

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28

Cai, Chuan-Yu, Qiu-Ying Zhang, and Ti-Ren Huang. "Properties of generalized $ (p, q) $-elliptic integrals and generalized $ (p, q) $-Hersch-Pfluger distortion function." AIMS Mathematics 8, no. 12 (2023): 31198–216. http://dx.doi.org/10.3934/math.20231597.

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<abstract><p>In this paper, we focus on investigating various properties of generalized $ (p, q) $-elliptic integrals and the generalized $ (p, q) $-Hersch-Pfluger distortion function. We establish the complete monotonicity, logarithmic, geometric concavity, and convexity of certain functions involving these generalized integrals and arcsine functions. Additionally, we derive several precise inequalities for the generalized $ (p, q) $-Hersch-Pfluger distortion function, which enhance and extend previous results.</p></abstract>

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29

Sanhaji, Ahmed, Ahmed Dakkak, and Mimoun Moussaoui. "The first eigencurve for a Neumann boundary problem involving p-Laplacian with essentially bounded weights." Opuscula Mathematica 43, no. 4 (2023): 559–74. http://dx.doi.org/10.7494/opmath.2023.43.4.559.

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This article is intended to prove the existence and uniqueness of the first eigencurve, for a homogeneous Neumann problem with singular weights associated with the equation \[-\Delta_{p} u=\alpha m_{1}|u|^{p-2}u+\beta m_{2}|u|^{p-2}u\] in a bounded domain \(\Omega \subset \mathbb{R}^{N}\). We then establish many properties of this eigencurve, particularly the continuity, variational characterization, asymptotic behavior, concavity and the differentiability.

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30

Desova, Begüm Çalışkan, and Mustafa Polat. "Existence, uniqueness, and blow-up analysis of a quasi-linear bi-hyperbolic equation with dynamic boundary conditions." Electronic Research Archive 32, no. 5 (2024): 3363–76. http://dx.doi.org/10.3934/era.2024155.

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<abstract><p>For this study, we investigate the existence and uniqueness of local solutions and derive a blow-up solution for a quasi-linear bi-hyperbolic equation under dynamic boundary conditions. We utilize the contraction mapping concept to demonstrate the solution's local well-posedness and employ a concavity approach to establish the blow-up result.</p></abstract>

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31

Zeng, Fugeng, Qigang Deng, and Dongxiu Wang. "Global Existence and Blow-Up for the Pseudo-parabolic p(x)-Laplacian Equation with Logarithmic Nonlinearity." Journal of Nonlinear Mathematical Physics 29, no. 1 (2021): 41–57. http://dx.doi.org/10.1007/s44198-021-00010-z.

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AbstractIn this paper, we study the initial boundary value problem of the pseudo-parabolic p(x)-Laplacian equation with logarithmic nonlinearity. The existence of the global solution is obtained by using the potential well method and the logarithmic inequality. In addition, the sufficient conditions of the blow-up are obtained by concavity method.

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32

Zhong, Genhong, Xiaoyan Ma, and Fei Wang. "Approximations related to the complete p-elliptic integrals." Open Mathematics 20, no. 1 (2022): 1046–56. http://dx.doi.org/10.1515/math-2022-0493.

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Abstract In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations defined in terms of K p {{\mathscr{K}}}_{p} , E p {{\mathscr{E}}}_{p} and the inverse hyperbolic tangent arth p {{\rm{arth}}}_{p} , which is of importance in the computation of the generalized pi and in the elementary proof of Ramanujan’s cubic transformation. By these results, several well-known results for the classical complete elliptic i

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Simić, Slavko, and Vesna Todorčević. "Jensen Functional, Quasi-Arithmetic Mean and Sharp Converses of Hölder’s Inequalities." Mathematics 9, no. 23 (2021): 3104. http://dx.doi.org/10.3390/math9233104.

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In this article, we give sharp two-sided bounds for the generalized Jensen functional Jn(f,g,h;p,x). Assuming convexity/concavity of the generating function h, we give exact bounds for the generalized quasi-arithmetic mean An(h;p,x). In particular, exact bounds are determined for the generalized power means in terms from the class of Stolarsky means. As a consequence, some sharp converses of the famous Hölder’s inequality are obtained.

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34

Ma, Xi-Nan, and Wei Zhang. "The Concavity of the Gaussian Curvature of the Convex Level Sets of $$p$$ p -Harmonic Functions with Respect to the Height." Communications in Mathematics and Statistics 1, no. 4 (2013): 465–89. http://dx.doi.org/10.1007/s40304-014-0025-y.

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35

Ye, Yaojun, and Qianqian Zhu. "Existence and nonexistence of global solutions for logarithmic hyperbolic equation." Electronic Research Archive 30, no. 3 (2022): 1035–51. http://dx.doi.org/10.3934/era.2022054.

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<abstract><p>This article is concerned with the initial-boundary value problem for a equation of quasi-hyperbolic type with logarithmic nonlinearity. By applying the Galerkin method and logarithmic Sobolev inequality, we prove the existence of global weak solutions for this problem. In addition, by means of the concavity analysis, we discuss the nonexistence of global solutions in the unstable set and give the lifespan estimation of solutions.</p></abstract>

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Chung, Soon-Yeong, and Min-Jun Choi. "A new condition for the concavity method of blow-up solutions to p-Laplacian parabolic equations." Journal of Differential Equations 265, no. 12 (2018): 6384–99. http://dx.doi.org/10.1016/j.jde.2018.07.032.

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Jayachandran, Sushmitha, and Gnanavel Soundararajan. "p-Biharmonic Pseudo-Parabolic Equation with Logarithmic Non linearity." 3C TIC: Cuadernos de desarrollo aplicados a las TIC 11, no. 2 (2022): 108–22. http://dx.doi.org/10.17993/3ctic.2022.112.108-122.

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This paper deals with the existence of solutions of a p-biharmonic pseudo parabolic partial differential equation with logarithmic nonlinearity in a bounded domain. We prove the global existence of the weak solutions using the Faedo-Galerkin method and applying the concavity approach, that the solutions blow up at a finite time. Further, we provide a maximal limit for the blow-up time.

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38

Greenstein, Alexander, Alexander M. Brown, Aaron Roberts, Raymond Edward Chen, Emma Knapp, and Ilya Voloshin. "Double-Row Repair Technique Provides Improved Dynamic Stabilization over Single-Row Repairs for Acute Bony Bankart Lesions." Orthopaedic Journal of Sports Medicine 7, no. 7_suppl5 (2019): 2325967119S0043. http://dx.doi.org/10.1177/2325967119s00437.

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Objectives: Previous studies of bony Bankart repair comparing single- and double-row reconstruction techniques have examined static forces required to displace the bony Bankart lesion. No studies, to date, have examined stability of bony Bankart repair with more physiologic concavity-compression model. We hypothesize the double-row fixation technique would provide superior stability and decreased displacement of a simulated bony Bankart lesion in a concavity-compression cadaveric model compared with single-row technique.Our aim was to examine the dynamic stability and ultimate displacement of

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Zhu, Qianqian, Yaojun Ye, and Shuting Chang. "Blow-up upper and lower bounds for solutions of a class of higher order nonlinear pseudo-parabolic equations." Electronic Research Archive 32, no. 2 (2024): 945–61. http://dx.doi.org/10.3934/era.2024046.

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<abstract><p>In this paper, we study the initial boundary value problem for a class of higher-order nonlinear pseudo-parabolic equations with a memory term. First, the blow-up results of the solution when the initial energy is negative or positive are obtained by using concavity analysis, and an upper bound on the blow-up time $ T^* $ is given. Second, a lower bound on the blow-up time $ T^* $ is obtained by applying differential inequalities when the solutions blow up.</p></abstract>

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Ngoc, Le Thi Phuong, Khong Thi Thao Uyen, Nguyen Huu Nhan, and Nguyen Thanh Long. "On a system of nonlinear pseudoparabolic equations with Robin-Dirichlet boundary conditions." Communications on Pure & Applied Analysis 21, no. 2 (2022): 585. http://dx.doi.org/10.3934/cpaa.2021190.

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<p style='text-indent:20px;'>In this paper, we investigate a system of pseudoparabolic equations with Robin-Dirichlet conditions. First, the local existence and uniqueness of a weak solution are established by applying the Faedo-Galerkin method. Next, for suitable initial datum, we obtain the global existence and decay of weak solutions. Finally, using concavity method, we prove blow-up results for solutions when the initial energy is nonnegative or negative, then we establish here the lifespan for the equations via finding the upper bound and the lower bound for the blow-up times.</p

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Amna Saeed, Rehana Fayyaz, Sohrab Shaheed, and Nasir Mushtaq. "ASSESSMENT OF MANDIBULAR SYMPHYSIS MORPHOLOGY AND ITS DIMENSIONS IN DIFFERENT ANTEROPOSTERIOR SKELETAL RELATIONSHIPS: A CROSS-SECTIONAL STUDY." Journal of Khyber College of Dentistry 10, no. 02 (2020): 8–13. http://dx.doi.org/10.33279/jkcd.v10i02.309.

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Objective: The purpose of this study was to assess the mandibular symphysis morphology and its dimensions in different anteroposterior skeletal relationships, Class-I / Class-II/ Class III, in patients presented to orthodontics department of Rehman College of dentistry. Materials and Methods: A total of 50 lateral cephalograms of patients (age > 18 years, mean age 22 years) irrespective of gender were randomly selected from patient’s records of the department. Measurements were taken on software IC Measure version 1.3. All the radiographs were imported into the software and analyzed.

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Wang, Yu-Zhao, and Yan-Mei Wang. "The concavity of p-Rényi entropy power for doubly nonlinear diffusion equations and L-Gagliardo-Nirenberg-Sobolev inequalities." Journal of Mathematical Analysis and Applications 484, no. 1 (2020): 123698. http://dx.doi.org/10.1016/j.jmaa.2019.123698.

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Yang, G. C., and Z. Y. Li. "Positive Solutions of One-Dimensional p-Laplacian Problems with Superlinearity." Symmetry 10, no. 9 (2018): 363. http://dx.doi.org/10.3390/sym10090363.

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We study one-dimensional p-Laplacian problems and answer the unsolved problem. Our method is to study the property of the operator, the concavity of the solutions and the continuity of the first eigenvalues. By the above study, the main difficulty is overcome and the fixed point theorem can be applied for the corresponding compact maps. An affirmative answer is given to the unsolved problem with superlinearity. A global growth condition is not imposed on the nonlinear term f. The assumptions of this paper are more general than the usual, thus the existing results cannot be utilized. Some recen

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ABUNDO, M., L. ACCARDI, and N. ROSATO. "A MARKOVIAN MODEL FOR COOPERATIVE INTERACTIONS IN PROTEINS." Mathematical Models and Methods in Applied Sciences 05, no. 06 (1995): 835–63. http://dx.doi.org/10.1142/s0218202595000462.

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A stochastic model for cooperative interactions in proteins is proposed. The description is based on the theory of Markov’s chains and of birth-and-death processes. Even if the model depends only on two parameters: the mean probability p and the coupling capacity∆p, it presents a surprising wealth of qualitative behaviors when the two parameters are varied. In particular we provide numerical evidence of change of concavity of the stationary distribution at a critical value of the coupling capacity ∆p. The main mathematical feature is that the probability of creating a new chemical bond depends

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Segi, Naoki, Hiroaki Nakashima, Ryuichi Shinjo, et al. "Vertebral Endplate Concavity in Lateral Lumbar Interbody Fusion: Tapered 3D-Printed Porous Titanium Cage versus Squared PEEK Cage." Medicina 59, no. 2 (2023): 372. http://dx.doi.org/10.3390/medicina59020372.

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Background and Objectives: To prevent postoperative problems in extreme lateral interbody fusion (XLIF), it is critical that the vertebral endplate not be injured. Unintentional endplate injuries may depend on the cage. A novel porous titanium cage for XLIF has improved geometry with a tapered tip and smooth surface. We hypothesized that this new cage should lead to fewer endplate injuries. Materials and Methods: This retrospective study included 32 patients (mean 74.1 ± 6.7 years, 22 females) who underwent anterior and posterior combined surgery with XLIF for lumbar degenerative disease or ad

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Li, Cunlin, Wenyu Zhang, Baojun Yang, and Hooi Min Yee. "A multi-player game equilibrium problem based on stochastic variational inequalities." AIMS Mathematics 9, no. 9 (2024): 26035–48. http://dx.doi.org/10.3934/math.20241271.

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<p>In this paper, we studied a generalized Nash equilibrium problem where the constraint conditions were limited to a certain probability. The existence of an equilibrium solution for the vector-valued optimization problem was verified using Ky Fan's inequality and Lusin's theorem, considering the conditions of lower semi-continuity and concavity. Based on the study of the variational inequality method, we proposed a new algorithm to solve the problem. Furthermore, we analyzed the convergence of the algorithm. Finally, we applied the model to examine the economic benefits of digital curr

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OCUPA-HORNA, LUIS, MARK WILSON, and MARCO M. JIMÉNEZ. "A new species of Pleurothallis (Orchidaceae: Pleurothallidinae) in subsection Macrophyllae-Fasciculatae found in Carpish Montane Forest Regional Conservation Area, Peru." Phytotaxa 629, no. 2 (2023): 163–75. http://dx.doi.org/10.11646/phytotaxa.629.2.6.

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A new species of Pleurothallis belonging to subsection Macrophyllae-Fasciculatae was discovered in the Carpish Montane Forest Regional Conservation Area, Huánuco, Peru. Pleurothallis carpishensis is described, illustrated, and compared to P. radula, from which it is differentiated by the flowers borne from a depressed spathaceous bract resting on a navicular concavity on the leaf, the oblong-lanceolate, apiculate petals, with large papillae on the margins, the triangular, subacute lip, with a basal, widely ovate and emarginate, papillose-verrucose callus, with two oblique, lateral and marginal

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Martins, Jorge N. R., António Mata, Duarte Marques, and João Caramês. "Prevalence of C-shaped mandibular molars in the Portuguese population evaluated by cone-beam computed tomography." European Journal of Dentistry 10, no. 04 (2016): 529–35. http://dx.doi.org/10.4103/1305-7456.195175.

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ABSTRACT Objective: The purpose of this study was to evaluate the prevalence of first and second C-shaped mandibular molars in a Western European population of Portuguese Caucasians. Materials and Methods: Patients having both routine panoramic radiograph and presurgical cone-beam computed tomography (CBCT) exams were selected. The CBCT examination was performed at five different axial levels and the mandibular molars were classified as C-shape according to the Fan criteria. Differences between genders, age groups, left and right side, type of tooth, and root concavity side were determined. Th

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Satitpitakul, Vannarut, Parichart Taweekitikul, Vilavun Puangsricharern, Ngamjit Kasetsuwan, Usanee Reinprayoon, and Thanachaporn Kittipibul. "Alteration of corneal biomechanical properties in patients with dry eye disease." PLOS ONE 16, no. 7 (2021): e0254442. http://dx.doi.org/10.1371/journal.pone.0254442.

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Purpose To evaluate the association between symptoms and signs of dry eye diseases (DED) with corneal biomechanical parameters. Methods This cross-sectional study enrolled 81 participants without history of ocular hypertension, glaucoma, keratoconus, corneal edema, contact lens use, diabetes, and ocular surgery. All participants were evaluated for symptoms and signs of DED using OSDI questionnaire, tear film break-up time (TBUT), conjunctival and corneal staining (NEI grading) and Schirmer test. Corneal biomechanical parameters were obtained using Corvis ST. Mixed-effects linear regression ana

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魏少華, 魏少華. "Alternative Ridge Augmentation for Esthetic Implant Placement: Case Series." Journal of Periodontics and Implant Dentistry 6, no. 1 (2023): 027–33. http://dx.doi.org/10.53106/261634032023050601004.

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<p>Backgrounds: With the advantage of maximizing esthetic results and minimizing treatment procedures, immediate implant placement and provisionalization (IIPP) would be the first choice when planning to replace failing teeth in esthetic zone. However, the previous cone-beam computed tomography (CBCT) analysis of maxillary anterior teeth in Taiwanese patients revealed that the higher probability of labial bony perforation (LBP) when immediate implant surgery due to undesirable labial ridge concavity. Therefore, this case series demonstrated an alternative strategic approach that combined

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