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11	Eigenvalue Problem for the 1-Laplace Operator Milbers, Zoja 23 March 2009 (has links) We consider the eigenvalue problem associated to the 1-Laplace operator. We define higher eigensolutions by means of weak slope and establish existence of a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new necessary condition for the first eigenvalue of the 1-Laplace operator by means of inner variations. / Wir betrachten das zum 1-Laplace-Operator gehörige Eigenwertproblem. Wir definieren höhere Eigenlösungen mittels weak slope und weisen die Existenz einer Folge von Eigenlösungen nach, indem wir die nichtglatte Theorie kritischer Punkte anwenden. Zusätzlich leiten wir eine neue notwendige Bedingung für den ersten Eigenwert des 1-Laplace-Operators mittels innerer Variationen her. info:eu-repo/classification/ddc/510 ddc:510
12	Teoria dos Pontos Críticos e Sistemas Hamiltonianos. / Critical Point Theory and Hamiltonian Systems. BARBOSA, Leopoldo Maurício Tavares. 17 July 2018 (has links) Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-17T17:42:26Z No. of bitstreams: 1 LEOPOLDO MAURÍCIO TAVARES BARBOSA - DISSERTAÇÃO PPGMAT 2007..pdf: 712644 bytes, checksum: 6b24483b48b038e23d4ace377b04ece5 (MD5) / Made available in DSpace on 2018-07-17T17:42:27Z (GMT). No. of bitstreams: 1 LEOPOLDO MAURÍCIO TAVARES BARBOSA - DISSERTAÇÃO PPGMAT 2007..pdf: 712644 bytes, checksum: 6b24483b48b038e23d4ace377b04ece5 (MD5) Previous issue date: 2007-10 / CNPq / Capes / Neste trabalho usamos métodos variacionais para mostrar a existência de solução fraca para dois tipos de problema. O primeiro trata-se de uma Equação Diferencial Ordinária. O segundo é referente ao sistema Hamiltoniano. Para Visualisar as equações ou formulas originalmente escritas neste resumo recomendamos o downloado do arquivo completo. / In this work we use variational methods to show the existence of weak solutions for two types problems. The ﬁrst, is related with a following Ordinary Diﬀerential Equations. The second is relating at the Hamiltonian Systems. To see the equations or formulas originally written in this summary we recommend downloading the complete file. Matemática. Teoria dos pontos críticos Sistemas Hamiltonianos Minimax Equação do pêndulo forçado Desigualdade de Wirtinger Transformada de Legendre Funções convexas Função de Legendre Dual Hamiltoniano Funcionais invariantes Critical Point Theory Equation of the forced pendulum Convex Functions
13	Problemas elípticos do tipo côncavo-convexo com crescimento crítico e condição de Neumann / Existence and multiplicity of solutions for the non-linear Schrodinger Equation in Rn Malavazi, Mazílio Coronel, 1983- 14 January 2013 (has links) Orientador: Francisco Odair Vieira de Paiva / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-21T19:28:36Z (GMT). No. of bitstreams: 1 Malavazi_MazilioCoronel_D.pdf: 1741221 bytes, checksum: becbc428943851a9a63bba6d406db3ca (MD5) Previous issue date: 2013 / Resumo: O resumo poderá ser visualizado no texto completo da tese digital / Abstract: The abstract is available with the full electronic document / Doutorado / Matematica / Doutor em Matemática Equações diferenciais elipticas Princípios variacionais Neumann, Problema de Nonlinear partial differential equations Elliptics differential equation Variational principles Neumann problem
14	The Eigenvalue Problem of the 1-Laplace Operator Littig, Samuel 19 February 2015 (has links) (PDF) As a first aspect the thesis treats existence results of the perturbed eigenvalue problem of the 1-Laplace operator. This is done with the aid of a quite general critical point theory results with the genus as topological index. Moreover we show that the eigenvalues of the perturbed 1-Laplace operator converge to the eigenvalues of the unperturebed 1-Laplace operator when the perturbation goes to zero. As a second aspect we treat the eigenvalue problems of the vectorial 1-Laplace operator and the symmetrized 1-Laplace operator. And as a third aspect certain related parabolic problems are considered. 1-Laplace Operator Nichtglatte Theorie kritischer Punkte Geschlecht Störungsresultate Bifurkation Vektorwertiger Totalvariationsfluss Symmetrisierter 1-Laplace Operator BD 1-Laplace operator nonsmooth critical point theory genus perturbation bifurcation vectorial total variation flow symmetrized 1-Laplace operator BD ddc:510 rvk:SK 620
15	The Eigenvalue Problem of the 1-Laplace Operator: Local Perturbation Results and Investigation of Related Vectorial Questions Littig, Samuel 23 January 2015 (has links) As a first aspect the thesis treats existence results of the perturbed eigenvalue problem of the 1-Laplace operator. This is done with the aid of a quite general critical point theory results with the genus as topological index. Moreover we show that the eigenvalues of the perturbed 1-Laplace operator converge to the eigenvalues of the unperturebed 1-Laplace operator when the perturbation goes to zero. As a second aspect we treat the eigenvalue problems of the vectorial 1-Laplace operator and the symmetrized 1-Laplace operator. And as a third aspect certain related parabolic problems are considered. info:eu-repo/classification/ddc/510 ddc:510

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