Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator

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dc.contributor.authorPimenta, Marcos T. O. [UNESP]
dc.contributor.authorGonzaga, Anderson dos Santos [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2023-03-01T20:46:13Z
dc.date.available2023-03-01T20:46:13Z
dc.date.issued2022-01-01
dc.description.abstractIn this work, we study a class of Hénon-type equations which involve the 1-Laplacian operator in the unit ball. Under mild assumptions on the nonlinearity, the existence of radial solutions is proved and, for a parameter in a certain range, the existence of symmetry breaking is proved, through the presence of non-radial solutions. The approach is based on an approximation scheme, where a thorough analysis of the solutions of the associated p-Laplacian problems is necessary.en
dc.description.affiliationDepartamento de Matemática e Computação Universidade Estadual Paulista - Unesp, CEP: 19060-900 Presidente Prudente, SP
dc.description.affiliationDepartamento de Matemática Instituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, CEP: 15054-000 São José do Rio Preto, SP
dc.description.affiliationUnespDepartamento de Matemática e Computação Universidade Estadual Paulista - Unesp, CEP: 19060-900 Presidente Prudente, SP
dc.description.affiliationUnespDepartamento de Matemática Instituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, CEP: 15054-000 São José do Rio Preto, SP
dc.identifierhttp://dx.doi.org/10.1142/S0219199722500213
dc.identifier.citationCommunications in Contemporary Mathematics.
dc.identifier.doi10.1142/S0219199722500213
dc.identifier.issn0219-1997
dc.identifier.scopus2-s2.0-85131072961
dc.identifier.urihttp://hdl.handle.net/11449/241079
dc.language.isoeng
dc.relation.ispartofCommunications in Contemporary Mathematics
dc.sourceScopus
dc.subject1-Laplacian operator
dc.subjectHénon-type equation
dc.subjectspace of functions of bounded variation
dc.subjectsymmetry breaking
dc.titleSymmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operatoren
dc.typeArtigo
unesp.departmentMatemática e Computação - FCTpt

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Presidente Prudente - FCT - Faculdade de Ciências e Tecnologia
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