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Dissertations / Theses on the topic 'P(x)-laplacian equation'

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Published: 3 June 2025
Last updated: 31 July 2025

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1

Eser, Mehmet. "Shape metamorphism using p -Laplacian equation." abstract and full text PDF (free order & download UNR users only), 2005. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1433292.

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2

Pudipeddi, Sridevi. "Localized Radial Solutions for Nonlinear p-Laplacian Equation in RN." Thesis, University of North Texas, 2008. https://digital.library.unt.edu/ark:/67531/metadc6059/.

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We establish the existence of radial solutions to the p-Laplacian equation ∆p u + f(u)=0 in RN, where f behaves like |u|q-1 u when u is large and f(u) < 0 for small positive u. We show that for each nonnegative integer n, there is a localized solution u which has exactly n zeros. Also, we look for radial solutions of a superlinear Dirichlet problem in a ball. We show that for each nonnegative integer n, there is a solution u which has exactly n zeros. Here we give an alternate proof to that which was given by Castro and Kurepa.
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3

Pudipeddi, Sridevi Iaia Joseph A. "Localized radial solutions for nonlinear p-laplacian equation in R[superscript N]." [Denton, Tex.] : University of North Texas, 2008. http://digital.library.unt.edu/permalink/meta-dc-6059.

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4

Khanfar, Abeer. "Multiple Solutions on a Ball for a Generalized Lane Emden Equation." ScholarWorks@UNO, 2008. http://scholarworks.uno.edu/td/901.

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In this work we study the Generalized Lane-Emden equation and the interplay between the exponents involved and their consequences on the existence and non existence of radial solutions on a unit ball in n dimensions. We extend the analysis to the phase plane for a clear understanding of the behavior of solutions and the relationship between their existence and the growth of nonlinear terms, where we investigate the critical exponent p and a sub-critical exponent, which we refer to as ^p. We discover a structural change of solutions due the existence of this sub-critical exponent which we relat
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5

Ramos, Thiago Williams Siqueira. "Quasilinear Elliptic Problems with multiple regions of singularities and convexities for the p(x)-Laplacian operator." reponame:Repositório Institucional da UnB, 2017. http://repositorio.unb.br/handle/10482/32209.

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Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2017.<br>Submitted by Raquel Viana (raquelviana@bce.unb.br) on 2018-07-03T19:05:00Z No. of bitstreams: 1 2017_ThiagoWilliamsSiqueiraRamos.pdf: 886895 bytes, checksum: a7e4b17e0eca63c609ceff5b642067e2 (MD5)<br>Approved for entry into archive by Raquel Viana (raquelviana@bce.unb.br) on 2018-07-09T18:59:32Z (GMT) No. of bitstreams: 1 2017_ThiagoWilliamsSiqueiraRamos.pdf: 886895 bytes, checksum: a7e4b17e0eca63c609ceff5b642067e2 (MD5)<br>Made available in DSpace on 2018-07-09T18:59:33Z (GMT). No. of
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6

Childers, Kristen Snyder. "Generalizations of a Laplacian-Type Equation in the Heisenberg Group and a Class of Grushin-Type Spaces." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3042.

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In [2], Beals, Gaveau and Greiner find the fundamental solution to a 2-Laplace-type equation in a class of sub-Riemannian spaces. This fundamental solution is based on the well-known fundamental solution to the p-Laplace equation in Grushin-type spaces [4] and the Heisenberg group [6]. In this thesis, we look to generalize the work in [2] for a p-Laplace-type equation. After discovering that the "natural" generalization fails, we find two generalizations whose solutions are based on the fundamental solution to the p-Laplace equation.
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7

Barreiro, José Lindomberg Possiano. "Existência e multiplicidade de soluções para uma classe de problemas quaselineares envolvendo expoentes variáveis." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7423.

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Made available in DSpace on 2015-05-15T11:46:16Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 6098546 bytes, checksum: f3f577101600c726f33d527b14f716e7 (MD5) Previous issue date: 2014-02-24<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work, we will use the Mountain Pass Theorem for an even Functional, Genus Theory, Ekeland's variational principle and some properties involving Nehari manifolds to obtain existence and multiplicity of solutions for the following class of quasilinear problems involving variable exponents 8<: p(x)u + jujp(x)2u = f(x; u
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8

Ferreira, Marcelo Carvalho. "Existência de soluções via métodos variacionais para uma classe de problemas quasilineares com expoentes variáveis." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7434.

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Made available in DSpace on 2015-05-15T11:46:19Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1007353 bytes, checksum: 6d3a56556bfe678274eda50fb3c8ebf1 (MD5) Previous issue date: 2014-02-22<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this thesis we establish existence and multiplicity results for solutions to some classes of problems on RN involving the p(x)-Laplacian operator. In the first part, we consider classes of problems dealing with nonlinearities possessing critical growth. Ultimately, we consider a class of problems with a nonlinearity possess
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9

Paciência, Alan Kardec Reis. "Estabilidade assintótica para um modelo dissipativo de equação de placas com p - Laplaciano e termo memória." Universidade Federal do Maranhão, 2017. http://tedebc.ufma.br:8080/jspui/handle/tede/1732.

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Submitted by Rosivalda Pereira (mrs.pereira@ufma.br) on 2017-07-05T21:25:08Z No. of bitstreams: 1 AlanPaciencia.pdf: 382837 bytes, checksum: 5f9c9a1520895e9d9b37a6549ee31251 (MD5)<br>Made available in DSpace on 2017-07-05T21:25:08Z (GMT). No. of bitstreams: 1 AlanPaciencia.pdf: 382837 bytes, checksum: 5f9c9a1520895e9d9b37a6549ee31251 (MD5) Previous issue date: 2017-01-05<br>In this work, we study situations involving the existence, uniqueness, decay rates and asymptotic behavior of solutions for a class of nonlinear equations cards and memory. In particular, in the first chapter we revie
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10

Campos, Fabio Antonio Araujo de. "Existência e não existência de soluções globais para uma equação de onda do tipo p-Laplaciano." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-13052010-162940/.

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Neste trabalho estudamos a equação de ondas do tipo p-Laplaciano \'u IND. tt\' - \'DELTA\' IND.p u + \'(- \'DELTA\' POT. alpha\' u IND. t\' = \' [u] POT.q - 2 u, definida num domínio limitado limitado do \'R POT. n\', com 2 \' > ou = \' p < q e 0 < \' alpha\' < 1. Utilizando o método de Faedo-Galerkin provamos a existência de soluções fracas globais para dados iniciais pequenos. Para essas soluções estudamos também o decaimento polinomial da energia associada. A questão da não existência de soluções globais é considerada para o caso em que a energia inicial do sistema é negativa<br>In this wo
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11

Dannawi, Ihab. "Contributions aux équations d'évolutions non locales en espace-temps." Thesis, La Rochelle, 2015. http://www.theses.fr/2015LAROS007/document.

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Dans cette thèse, nous nous intéressons à l'étude de quatre équations d'évolution non-locales. Les solutions de ces quatre équations peuvent exploser en temps fini. Dans la théorie des équations d'évolution non-linéaires, une solution est qualifiée de globale si elle est définie pour tout temps positif. Au contraire, si une solution existe seulement sur un intervalle de temps [0; T) borné, elle est dite locale. Dans ce dernier cas et quand le temps maximal d'existence est relié à une alternative d'explosion, on dit aussi que la solution explose en temps fini. Dans un premier travail, nous cons
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12

Jaumouillé, Elodie. "Contrôle de l'état hydraulique dans un réseau d'eau potable pour limiter les pertes." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2009. http://tel.archives-ouvertes.fr/tel-00443827.

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Les fuites non détectées dans les réseaux d'eau potable sont responsables en moyenne de la perte de 30% de l'eau transportée. Il s'avère donc primordial de pouvoir contrôler ces fuites. Pour atteindre cet objectif, la modélisation de l'écoulement de l'eau dans les conduites en tenant compte des fuites a été formulée de différente manière. La première formulation est un système d'équations différentielles ordinaires représentant des fuites constantes, réparties uniformément le long des conduites. Le système peut s'avérer être numériquement raide lorsque des organes hydrauliques sont rajoutés. D
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13

Neji, Ali. "Existence unicité et régularité de solutions de problèmes non linéaires et complètement non linéaires elliptiques singuliers." Thesis, Cergy-Pontoise, 2019. http://www.theses.fr/2019CERG1017.

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Dans cette thèse on s'intéresse à l'existence, et la régularité pour des équations aux dérivées partielles non linéaires relatives au p-Laplacien , avec des termes d'ordre critiques ou sous critique, utilisant dans un cas le lemme du col d'Ambrozetti Rabinowitz, dans l'autre la concentration compacité de P L Lions. On considère ensuite un problème qui présente un terme d'ordre zéro qui "explose " près du bord, sur le modèle d'un article de Lazer mackenna, la différence essentielle étant ici que l'on a aussi un terme d'ordre 0 linéaire, qui demande donc l'utilisation de certaines fonctions prop
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14

Marino, Greta. "A-priori estimates for some classes of elliptic problems." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4116.

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L'obiettivo di questa tesi è di studiare alcuni aspetti di un potente strumento ampiamente utilizzato in analisi matematica, che è rappresentato dalle stime a priori. Infatti, le stime a priori hanno un ruolo chiave nella teoria delle equazioni differenziali a derivate parziali e nel calcolo delle variazioni, perché sono intimamente legate all'esistenza di soluzione per un dato problema. Nella tesi vengono presentati tre lavori scritti durante il periodo del dottorato, in ciascuno dei quali vengono utilizzate le stime a priori. Il primo lavoro, scritto in collaborazione con il Prof. S. Moscon
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15

Bright, Andrew G. "Mechanistic Insights into the Stabilisation of Biopharmaceuticals using Glycine Derivatives. The Effect of Glycine Derivatives on the Crystallisation, Physical Properties and Behaviour of Commonly used Excipients to Stabilise Antigens, Adjuvants and Proteins in the Solid State." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/15943.

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This dissertation has focused on studying the effect of four glycine derivatives on the solid state properties of mannitol, glycine, and sucrose when freeze dried into blended mixtures. The primary goal was to assess their value for use in the stabilisation of vaccines in the solid state, by examining key physical and chemical characteristics, which have been documented to be beneficial to the stabilisation of biopharmaceutical formulations. The novel excipients; dimethyl glycine, and trimethyl glycine, were shown to retard the crystallisation and increase the overall glass transition temperat
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16

Al, Zohbi Maryam. "Contributions to the existence, uniqueness, and contraction of the solutions to some evolutionary partial differential equations." Thesis, Compiègne, 2021. http://www.theses.fr/2021COMP2646.

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Dans cette thèse, nous nous sommes principalement intéressés à l’étude théorique et numérique de quelques équations qui décrivent la dynamique des densités des dislocations. Les dislocations sont des défauts microscopiques qui se déplacent dans les matériaux sous l’effet des contraintes extérieures. Dans un premier travail, nous démontrons un résultat d’existence globale en temps des solutions discontinues pour un système hyperbolique diagonal qui n’est pas nécessairement strictement hyperbolique, dans un espace unidimensionnel. Ainsi dans un deuxième travail, nous élargissons notre portée en
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17

LIN, JEN-TZU, and 林仁慈. "Existence of Solutions for Generalized p-Laplacian Equation." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/442yfs.

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碩士<br>國立臺北教育大學<br>數學暨資訊教育學系(含數學教育碩士班)<br>96<br>Under suitable conditions on , we use the “Integrate method” to guarantee the boundary value problem Then we use Leray-Schauder alternative fixed point theorem and has at least one solution.
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18

Dong, Albert Zhengyuan. "An Introductory View of the Weak Solution of the p-Laplacian Equation." Thesis, 2016. http://hdl.handle.net/1885/173608.

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In this paper we will explore the various property of the weak solutions of the p-Laplacian equation: div(|Du|p-2Du) = 0 for 1 < p < 2, including existence, uniqueness theory, di erentiability and regularity results.
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19

Shiau, Yu-shan, and 蕭宇珊. "The existence of symmetric positive solutions for Sturm-Liouville-like four-point boundary value problem of a second order p-Laplacian equation." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/21075378687781053693.

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碩士<br>淡江大學<br>數學學系碩士班<br>97<br>In this paper, the Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator. By the use of Schauder fixed point theorem and upper and lower solution, we explore the p-Laplacian operator equation in the Sturm-Liouville-Like a four-point boundary value under symmetric Existence of Positive Solutions .
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20

Baldelli, Laura. "Existence and multiplicity results for nonlinear elliptic problems." Doctoral thesis, 2022. http://hdl.handle.net/2158/1261959.

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In this work of thesis, we investigate existence and multiplicity results for a class of nonlinear elliptic problems. First, we deal with problems involving the p-Laplacian operator on bounded smooth domains, where a diffusion term appears into the nonlinearity. For this reason, variational methods cannot be used. Secondly, we treat existence and multiplicity of weak solutions for (p; q)- Laplacian equations, as well as for singular p-Laplacian Schrodinger equations, in the entire R^N whose nonlinearity combines a power-type term at critical level with a subcritical term, involving also
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