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Journal articles on the topic 'Superlinza'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Kannan, R., and Rafael Ortega. "Superlinear elliptic boundary value problems." Czechoslovak Mathematical Journal 37, no. 3 (1987): 386–99. http://dx.doi.org/10.21136/cmj.1987.102166.

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2

Ono, Shirou. "Techno Superliner." Journal of the Society of Mechanical Engineers 108, no. 1039 (2005): 452–53. http://dx.doi.org/10.1299/jsmemag.108.1039_452.

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3

Schechter, Martin, and Wenming Zou. "Superlinear problems." Pacific Journal of Mathematics 214, no. 1 (2004): 145–60. http://dx.doi.org/10.2140/pjm.2004.214.145.

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4

Quittner, Pavol. "A priori estimates of solutions of superlinear problems." Mathematica Bohemica 126, no. 2 (2001): 483–92. http://dx.doi.org/10.21136/mb.2001.134030.

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5

Keuschnigg, Marc. "Scaling trajectories of cities." Proceedings of the National Academy of Sciences 116, no. 28 (2019): 13759–61. http://dx.doi.org/10.1073/pnas.1906258116.

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Urban scaling research finds that agglomeration effects—the higher-than-expected outputs of larger cities—follow robust “superlinear” scaling relations in cross-sectional data. But the paradigm has predictive ambitions involving the dynamic scaling of individual cities over many time points and expects parallel superlinear growth trajectories as cities’ populations grow. This prediction has not yet been rigorously tested. I use geocoded microdata to approximate the city-size effect on per capita wage in 73 Swedish labor market areas for 1990–2012. The data support a superlinear scaling regime

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6

Rodríguez Rodrigo, Juliana. "Caso superliga." CUADERNOS DE DERECHO TRANSNACIONAL 16, no. 2 (2024): 1311–28. http://dx.doi.org/10.20318/cdt.2024.8977.

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En la sentencia objeto de comentario, el TJUE responde a las cuestiones prejudiciales planteadas por el Juzgado de lo Mercantil número 17 de Madrid en el caso de la demanda interpuesta por la Superliga contra la FIFA y la UEFA. En estas cuestiones se pregunta si la decisión de estas dos entidades de no autorizar la celebración de la Superliga en sus mercados de actuación vulnera las normas de competencia, además de las libertades europeas. El Tribunal de Justicia concluye que sí. Indica que, en relación con las normas de competencia, que son las objeto de estudio en este trabajo, este comporta

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7

Alves, Ricardo. "Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems." Electronic Journal of Qualitative Theory of Differential Equations, no. 13 (2022): 1–29. http://dx.doi.org/10.14232/ejqtde.2022.1.13.

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In the present paper we deal with a quasilinear problem involving a singular term and a parametric superlinear perturbation. We are interested in the existence, nonexistence and multiplicity of positive solutions as the parameter λ > 0 varies. In our first result, the superlinear perturbation has an arbitrary growth and we obtain the existence of a solution for the problem by using the sub-supersolution method. For the second result, the superlinear perturbation has subcritical growth and we employ the Mountain Pass Theorem to show the existence of a second solution.

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8

Batiha, Iqbal M. "Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem." International Journal of Analysis and Applications 20 (November 16, 2022): 62. http://dx.doi.org/10.28924/2291-8639-20-2022-62.

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In this paper, we aim to study the solutions of superlinear hyperbolic problems with boundary condition of Dirichlet type where we show the existence and the uniqueness of the strong solutions for the superlinear problems by the method of energy inequality.

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9

Gunther, Neil, Paul Puglia, and Kristofer Tomasette. "Hadoop Superlinear Scalability." Queue 13, no. 5 (2015): 20–42. http://dx.doi.org/10.1145/2773212.2789974.

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10

Gunther, Neil J., Paul Puglia, and Kristofer Tomasette. "Hadoop superlinear scalability." Communications of the ACM 58, no. 4 (2015): 46–55. http://dx.doi.org/10.1145/2719919.

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11

Orpel, Aleksandra. "Superlinear Dirichlet problems." Nonlinear Analysis: Theory, Methods & Applications 56, no. 6 (2004): 937–50. http://dx.doi.org/10.1016/j.na.2003.10.021.

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12

Fischer, Dietrich. "On superlinear speedups." Parallel Computing 17, no. 6-7 (1991): 695–97. http://dx.doi.org/10.1016/s0167-8191(05)80060-2.

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13

Bonanno, Gabriele, Petru Jebelean, and Călin Şerban. "Superlinear discrete problems." Applied Mathematics Letters 52 (February 2016): 162–68. http://dx.doi.org/10.1016/j.aml.2015.09.005.

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14

Schechter, Martin. "Superlinear Schrödinger operators." Journal of Functional Analysis 262, no. 6 (2012): 2677–94. http://dx.doi.org/10.1016/j.jfa.2011.12.023.

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15

Wang, Xiaohui, and Peihao Zhao. "Existence of weak solutions to superlinear elliptic systems without the Ambrosetti-Rabinowitz condition." Electronic Journal of Differential Equations 2020, no. 01-132 (2020): 52. http://dx.doi.org/10.58997/ejde.2020.52.

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In this article, we study the existence of the weak solution for superlinear elliptic equations and systems without the Ambrosetti-Rabinowitz condition. The Ambrosetti-Rabinowitz condition guarantees the boundedness of the PS sequence of the functional I for the corresponding problem. We establish the existence of the weak solution for the superlinear elliptic equation by using \((PS)_c\) form of the Mountain pass lemma, and the existence of the weak solution for the superlinear elliptic system by using \((PS)_c^{*}\) form of the Linking theorem. For more information see https://ejde.mat

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16

Chen, Guanwei, and Shiwang Ma. "Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/349304.

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We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recently by Szulkin and Weth.

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17

Lin, Genghong, and Zhan Zhou. "Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/436529.

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By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. Some results in the literature are improved.

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18

Wang, Shuang, FanFan Chen, and Chunlian Liu. "The existence of periodic solutions for nonconservative superlinear second order ODEs: a rotation number and spiral analysis approach." Electronic Research Archive 33, no. 1 (2025): 50–67. https://doi.org/10.3934/era.2025003.

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<p>We investigate the existence of periodic solutions for nonconservative superlinear second-order differential equations in the sense of rotation numbers. Specifically, we focus on equations whose solutions at infinity behave comparably to a suitable linear system. By employing a rotation number approach, spiral analysis, and fixed-point theorems, we establish the existence of periodic solutions for nonconservative superlinear second-order differential equations. Among the equations we consider, a notable subclass is partially superlinear second-order differential equations, which provi

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19

Xu, Shaoyuan, Yan Han, and Qiongyue Zheng. "Fixed point equations for superlinear operators with strong upper or strong lower solutions and applications." AIMS Mathematics 8, no. 4 (2023): 9820–31. http://dx.doi.org/10.3934/math.2023495.

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<abstract><p>It is well known that sublinear operators and superlinear operators are two classes of important nonlinear operators in nonlinear analysis and dynamical systems. Since sublinear operators have only weak nonlinearity, this advantage makes it easy to deal with them. However, superlinear operators have strong nonlinearity, and there are only a few results about them. In this paper, the convergence of Picard iteration for the superlinear operator $ A $ is obtained based on the conditions that the fixed point equation $ Ax = x $ has a strong upper solution and a lower solut

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20

Li, Yanyan, and Yuhua Long. "Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations." Abstract and Applied Analysis 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/469863.

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This paper deals with the periodic solutions of a class of fourth-order superlinear differential equations. By using the classical variational techniques and symmetric mountain pass lemma, the periodic solutions of a single equation in literature are extended to that of equations, and also, the cubic growth of nonlinear term is extended to a general form of superlinear growth.

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21

Chhetri, M., S. Raynor, and S. Robinson. "On the existence of multiple positive solutions to some superlinear systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 142, no. 1 (2012): 39–59. http://dx.doi.org/10.1017/s0308210510000582.

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We use the method of upper and lower solutions combined with degree-theoretic techniques to prove the existence of multiple positive solutions to some superlinear elliptic systems of the formon a smooth, bounded domain Ω⊂ℝn with Dirichlet boundary conditions, under suitable conditions on g1 and g2. Our techniques apply generally to subcritical, superlinear problems with a certain concave–convex shape to their nonlinearity.

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22

Su, Si, and Guo-Bao Zhang. "Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity." Electronic Journal of Differential Equations 2020, no. 01-132 (2020): 45. http://dx.doi.org/10.58997/ejde.2020.45.

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In this article, we consider the existence of positive solutions for a nonlinear system of fourth-order ordinary differential equations. By constructing a single cone \(P\) in the product space \(C[0, 1] \times C[0, 1]\) and applying fixed point theorem in cones, we establish the existence of positive solutions for a system in which the nonlinear terms are both superlinear or sublinear. In addition, by the construction of the product cone \(K_1 \times K_2 \subset C[0, 1] \times C[0, 1]\) along with the product formula of fixed point theory on a product cone, we investigate the existence of pos

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23

Gan, Canlin, and Weiwei Wang. "Existence result for the critical Klein-Gordon-Maxwell system involving steep potential well." AIMS Mathematics 8, no. 11 (2023): 26665–81. http://dx.doi.org/10.3934/math.20231364.

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<abstract><p>The Klein-Gordon-Maxwell system has received great attention in the community of mathematical physics. Under a special superlinear condition on the nonlinear term, the existence of solution for the critical Klein-Gordon-Maxwell system with a steep potential well has been solved. In this paper, under two general superlinear conditions, we obtain the existence of ground state solution for the critical Klein-Gordon-Maxwell system with a steep potential well. The general superlinear conditions bring challenge in proving the boundedness of Cerami sequence, which is a key st

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24

Rabier, Patrick J. "Superlinear convolution equations in." Nonlinear Analysis: Theory, Methods & Applications 64, no. 10 (2006): 2279–308. http://dx.doi.org/10.1016/j.na.2005.08.014.

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25

Hillenbrand, Rainer, and Thomas Taubner. "Mikroskopie mit einer Superlinse." Physik in unserer Zeit 37, no. 6 (2006): 260–61. http://dx.doi.org/10.1002/piuz.200690106.

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26

Su, Hua, and Jinmin Yu. "Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP." Journal of Function Spaces 2021 (July 7, 2021): 1–7. http://dx.doi.org/10.1155/2021/7567858.

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In this paper, we study the existence of positive solutions for the following nonlinear second-order third-point semi-positive BVP. We derive an explicit interval of positive parameters, which for any l , μ in this interval, the existence of positive solutions to the boundary value problem is guaranteed under the condition that a t , x , b t , x are all superlinear (sublinear), or one is superlinear, the other is sublinear.

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27

Chang, YuSang, SungSup Brian Choi, JinSoo Lee, and Won Chang Jin. "Population Size vs. Number of Crimes: Is the Relationship Superlinear?" International Journal of Information Systems and Social Change 9, no. 1 (2018): 26–39. http://dx.doi.org/10.4018/ijissc.2018010102.

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Do large cities suffer from an even greater incidence of crime? According to the Urban Scaling Theory, the number of crimes committed may follow a superlinear relationship as a function of the population size of city. For example, if the population size increases by 100%, the incidence of crime may increase by 120%. We analyzed a total of 11 types of crimes which had occurred in about 250 cities with more than 100,000 inhabitants in the United States during the period of 1995-2010. We found that the relationship between the number of crimes counts and the population size of cities have followe

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28

Galeazzo, Flavio Cesar Cunha, R. Gregor Weiß, Sergey Lesnik, Henrik Rusche, and Andreas Ruopp. "Understanding superlinear speedup in current HPC architectures." IOP Conference Series: Materials Science and Engineering 1312, no. 1 (2024): 012009. http://dx.doi.org/10.1088/1757-899x/1312/1/012009.

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Abstract The performance of OpenFOAM in strong scaling tests on HPC systems with AMD EPYC processors exhibits a pronounced superlinear speedup. Simple test cases show superlinear speedups of over 300%, which significantly impacts the efficient use of computing resources. With the last generation of HPC architectures, a superlinear speedup of about 10% to 20% was well expected and accepted by CFD users [1]. The measured superlinear speedup is much more pronounced and withstands the communication overhead to even larger scales. A detailed performance analysis of OpenFOAM follows, employing vario

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29

Safraider, Guilherme Isabela Silva, and Adriana Gelinski. "Repercussão entre internautas da inserção da primeira atleta transgênera na superliga feminina de vôlei do Brasil." Simpósio Gênero e Políticas Públicas 5, no. 1 (2021): 649–58. http://dx.doi.org/10.5433/sgpp.2018v5.p649.

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A presente reflexão tem como objetivo compreender a partir dos comentários em sites de notícias, publicadas no ano de 2018, sobre a participação e atuação da atleta Tiffany na superliga feminina de vôlei do Brasil. Tendo como objetivos específicos identificar o conjunto de ideais estabelecidos em relação a binariedade nos comentários dos sites de notícias relacionados a atleta trans Tiffany. Quantificar comentários positivos e negativos em relação a participação da atleta trans Tiffany na superliga feminina de vôlei do Brasil e averiguar o discurso biológico nos comentários sobre a presença em

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30

Yan, Dongliang. "Positive Solutions for a Singular Superlinear Fourth-Order Equation with Nonlinear Boundary Conditions." Journal of Function Spaces 2020 (March 28, 2020): 1–6. http://dx.doi.org/10.1155/2020/7308025.

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We show the existence of positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions. u⁗x=λhxfux, x∈0,1,u0=u′0=0,u″1=0, u⁗1+cu1u1=0, where λ > 0 is a small positive parameter, f:0,∞⟶ℝ is continuous, superlinear at ∞, and is allowed to be singular at 0, and h: [0, 1] ⟶ [0, ∞) is continuous. Our approach is based on the fixed-point result of Krasnoselskii type in a Banach space.

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31

AKL, SELIM G. "INHERENTLY PARALLEL GEOMETRIC COMPUTATIONS." Parallel Processing Letters 16, no. 01 (2006): 19–37. http://dx.doi.org/10.1142/s0129626406002447.

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A new computational paradigm is described which offers the possibility of superlinear (and sometimes unbounded) speedup, when parallel computation is used. The computations involved are subject only to given mathematical constraints and hence do not depend on external circumstances to achieve superlinear performance. The focus here is on geometric transformations. Given a geometric object A with some property, it is required to transform A into another object B which enjoys the same property. If the transformation requires several steps, each resulting in an intermediate object, then each of t

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32

Michalek, Peter. "110-kV-Supraleiterprojekt „SuperLink“." VDI energie + umwelt 2, no. 1-2 (2025): 46–47. https://doi.org/10.37544/2942-7347-2025-1-2-46.

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Wir leben in einer Zeit, in der die Wärme- und Energieversorgung in Deutschland, aber auch in Europa und der Welt, vor einem enormen Umbruch steht. Die bisherige Nutzung fossiler Primärenergieträger wird zurückgedrängt, und durch neue Energieressourcen wie Wind- und Solarenergie ersetzt. Dies führt in der Folge zu einer Umorientierung auf die elektrische Energie als Mittel der Wahl.

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33

Amster, Pablo, Pierluigi Benevieri, and Julián Haddad. "Periodic positive solutions of superlinear delay equations via topological degree." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2191 (2021): 20190373. http://dx.doi.org/10.1098/rsta.2019.0373.

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We extend to delay equations recent results obtained by G. Feltrin and F. Zanolin for second-order ordinary equations with a superlinear term. We prove the existence of positive periodic solutions for nonlinear delay equations − u ″( t ) = a ( t ) g ( u ( t ), u ( t − τ )). We assume superlinear growth for g and sign alternance for a . The approach is topological and based on Mawhin’s coincidence degree. This article is part of the theme issue ‘Topological degree and fixed point theories in differential and difference equations’.

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34

Gasiński, Leszek, and Nikolaos S. Papageorgiou. "Nonhomogeneous Nonlinear Dirichlet Problems with ap-Superlinear Reaction." Abstract and Applied Analysis 2012 (2012): 1–28. http://dx.doi.org/10.1155/2012/918271.

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We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Carathéodory reactionf(z,ζ), whose primitivef(z,ζ)isp-superlinear near±∞, but need not satisfy the usual in such cases, the Ambrosetti-Rabinowitz condition. Using a combination of variational methods with the Morse theory (critical groups), we show that the problem has at least three nontrivial smooth solutions. Our result unifies the study of “superlinear” equations monitored by some differential operators of interest like thep-Laplacian, the(p,q)-Laplacian, and thep-generalized mea

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35

Roth, Walter. "Hahn-Banach Type Theorems for Locally Convex Cones." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 68, no. 1 (2000): 104–25. http://dx.doi.org/10.1017/s1446788700001609.

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AbstractWe prove Hahn-Banach type theorems for linear functionals with values in R∪{+∞} on ordered cones, Using the concept of locally convex cones, we provide a sandwich theorem involving sub- and superlinear functionals which are allowed to attain infinite values. It render general versions of well-known extension and separation results. We describe the range of all linear functionals sandwiched between given sub- and superlinear functionals on an ordered cone. The results are of interest even in vector spaces, since we consider sublinear functionals that may attain the value +∞.

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36

Beckermann, Bernhard, and Arno B. J. Kuijlaars. "Superlinear Convergence of Conjugate Gradients." SIAM Journal on Numerical Analysis 39, no. 1 (2001): 300–329. http://dx.doi.org/10.1137/s0036142999363188.

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37

De Figueiredo, Djairo Guedes, and Yang Jianfu. "Critical superlinear Ambrosetti-Prodi problems." Topological Methods in Nonlinear Analysis 14, no. 1 (1999): 59. http://dx.doi.org/10.12775/tmna.1999.022.

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38

Lin, Qian. "Jensen inequality for superlinear expectations." Statistics & Probability Letters 151 (August 2019): 79–83. http://dx.doi.org/10.1016/j.spl.2019.03.006.

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39

Alves, Claudianor O., and Shibo Liu. "On superlinear -Laplacian equations in." Nonlinear Analysis: Theory, Methods & Applications 73, no. 8 (2010): 2566–79. http://dx.doi.org/10.1016/j.na.2010.06.033.

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40

Wang, Zhi Qiang. "On a superlinear elliptic equation." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 8, no. 1 (1991): 43–57. http://dx.doi.org/10.1016/s0294-1449(16)30276-1.

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41

Schechter, Martin. "Superlinear elliptic boundary value problems." Manuscripta Mathematica 86, no. 1 (1995): 253–65. http://dx.doi.org/10.1007/bf02567993.

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42

Janßen, R. "A note on superlinear speedup." Parallel Computing 4, no. 2 (1987): 211–13. http://dx.doi.org/10.1016/0167-8191(87)90053-6.

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43

Grigor'yan, Alexander, Yuhua Sun, and Igor Verbitsky. "Superlinear elliptic inequalities on manifolds." Journal of Functional Analysis 278, no. 9 (2020): 108444. http://dx.doi.org/10.1016/j.jfa.2019.108444.

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44

Ding, Xiaxi, Peizhu Luo, and Guozheng Yan. "SUPERLINEAR CONSERVATION LAW WITH VISCOSITY." Acta Mathematica Scientia 10, no. 1 (1990): 85–99. http://dx.doi.org/10.1016/s0252-9602(18)30383-7.

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45

Tehrani, Hossein T. "On indefinite superlinear elliptic equations." Calculus of Variations and Partial Differential Equations 4, no. 2 (1996): 139–53. http://dx.doi.org/10.1007/s005260050032.

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46

Choi, T. D., and C. T. Kelley. "Superlinear Convergence and Implicit Filtering." SIAM Journal on Optimization 10, no. 4 (2000): 1149–62. http://dx.doi.org/10.1137/s1052623499354096.

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47

Duc, Duong Minh. "On Superlinear p-Laplace Equations." Vietnam Journal of Mathematics 46, no. 3 (2017): 507–16. http://dx.doi.org/10.1007/s10013-017-0252-0.

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48

Liu, Zhen Hai, and Nikolaos S. Papageorgiou. "Resonant-Superlinear Nonhomogeneous Dirichlet Problems." Acta Mathematica Sinica, English Series 39, no. 11 (2023): 2091–116. http://dx.doi.org/10.1007/s10114-023-2343-z.

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49

Tehrani, Hossein T. "On indefinite superlinear elliptic equations." Calculus of Variations and Partial Differential Equations 4, no. 2 (1996): 139–53. http://dx.doi.org/10.1007/bf01189951.

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50

Cao, Huiping, and Jing Han. "A Class of Sparse Direct Broyden Method for Solving Sparse Nonlinear Equations." Symmetry 14, no. 8 (2022): 1552. http://dx.doi.org/10.3390/sym14081552.

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In our paper, we present a sparse quasi-Newton method, called the sparse direct Broyden method, for solving sparse nonlinear equations. The method can be seen as a Broyden-like method and is a least change update satisfying the sparsity condition and direct tangent condition simultaneously. The local and q-superlinear convergence is presented based on the bounded deterioration property and Dennis–Moré condition. By adopting a nonmonotone line search, we establish the global and superlinear convergence. Moreover, the unit step length is essentially accepted. Numerical results demonstrate that t

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