Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1142/S0219199722500213 http://hdl.handle.net/11449/241079 |
Resumo: | In 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. |
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Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator1-Laplacian operatorHénon-type equationspace of functions of bounded variationsymmetry breakingIn 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.Departamento de Matemática e Computação Universidade Estadual Paulista - Unesp, CEP: 19060-900 Presidente Prudente, SPDepartamento de Matemática Instituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, CEP: 15054-000 São José do Rio Preto, SPDepartamento de Matemática e Computação Universidade Estadual Paulista - Unesp, CEP: 19060-900 Presidente Prudente, SPDepartamento de Matemática Instituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, CEP: 15054-000 São José do Rio Preto, SPUniversidade Estadual Paulista (UNESP)Pimenta, Marcos T. O. [UNESP]Gonzaga, Anderson dos Santos [UNESP]2023-03-01T20:46:13Z2023-03-01T20:46:13Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1142/S0219199722500213Communications in Contemporary Mathematics.0219-1997http://hdl.handle.net/11449/24107910.1142/S02191997225002132-s2.0-85131072961Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Contemporary Mathematicsinfo:eu-repo/semantics/openAccess2024-06-19T14:32:05Zoai:repositorio.unesp.br:11449/241079Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:57:27.111378Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
title |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
spellingShingle |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator Pimenta, Marcos T. O. [UNESP] 1-Laplacian operator Hénon-type equation space of functions of bounded variation symmetry breaking |
title_short |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
title_full |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
title_fullStr |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
title_full_unstemmed |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
title_sort |
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator |
author |
Pimenta, Marcos T. O. [UNESP] |
author_facet |
Pimenta, Marcos T. O. [UNESP] Gonzaga, Anderson dos Santos [UNESP] |
author_role |
author |
author2 |
Gonzaga, Anderson dos Santos [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Pimenta, Marcos T. O. [UNESP] Gonzaga, Anderson dos Santos [UNESP] |
dc.subject.por.fl_str_mv |
1-Laplacian operator Hénon-type equation space of functions of bounded variation symmetry breaking |
topic |
1-Laplacian operator Hénon-type equation space of functions of bounded variation symmetry breaking |
description |
In 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. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-01-01 2023-03-01T20:46:13Z 2023-03-01T20:46:13Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1142/S0219199722500213 Communications in Contemporary Mathematics. 0219-1997 http://hdl.handle.net/11449/241079 10.1142/S0219199722500213 2-s2.0-85131072961 |
url |
http://dx.doi.org/10.1142/S0219199722500213 http://hdl.handle.net/11449/241079 |
identifier_str_mv |
Communications in Contemporary Mathematics. 0219-1997 10.1142/S0219199722500213 2-s2.0-85131072961 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Communications in Contemporary Mathematics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129267916079104 |