Nodal Solutions to Quasilinear Elliptic Problems Involving the 1-Laplacian Operator via Variational and Approximation Methods

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade de Brasília (UnB)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorFigueiredo, Giovany M.-
Autor(es): dc.creatorPimenta, Marcos T.O.-
Data de aceite: dc.date.accessioned2025-08-21T20:51:33Z-
Data de disponibilização: dc.date.available2025-08-21T20:51:33Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1512/iumj.2022.71.8881-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/246831-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/246831-
Descrição: dc.descriptionIn this work we use two different methods to get nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator. In the first one, we develop an approach based on a minimization of the energy functional associated with a problem involving the 1-Laplacian operator in RN, on a subset of the Nehari set which contains just sign-changing functions. In the second part we obtain a nodal solution to a quasilinear elliptic problem involving the 1-Laplacian operator in a bounded domain, through a thorough analysis of the sequence of solutions of the p-Laplacian problem associated with it, as p → 1+. In both cases, several technical difficulties appear in comparison with the related results involving signed solutions.-
Descrição: dc.descriptionDepartamento de Matemática Universidade de Brasilia - UNB, DF-
Descrição: dc.descriptionDepartamento de Matemática e Computação Universidade Estadual Paulista - UNESP, SP-
Descrição: dc.descriptionDepartamento de Matemática e Computação Universidade Estadual Paulista - UNESP, SP-
Formato: dc.format439-462-
Idioma: dc.languageen-
Relação: dc.relationIndiana University Mathematics Journal-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subject1-Laplacian operator-
Palavras-chave: dc.subjectNehari method-
Palavras-chave: dc.subjectnodal solutions-
Título: dc.titleNodal Solutions to Quasilinear Elliptic Problems Involving the 1-Laplacian Operator via Variational and Approximation Methods-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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