Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator
dc.contributor.author | Pimenta, Marcos T. O. [UNESP] | |
dc.contributor.author | Gonzaga, Anderson dos Santos [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
dc.date.accessioned | 2023-03-01T20:46:13Z | |
dc.date.available | 2023-03-01T20:46:13Z | |
dc.date.issued | 2022-01-01 | |
dc.description.abstract | 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. | en |
dc.description.affiliation | Departamento de Matemática e Computação Universidade Estadual Paulista - Unesp, CEP: 19060-900 Presidente Prudente, SP | |
dc.description.affiliation | Departamento de Matemática Instituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, CEP: 15054-000 São José do Rio Preto, SP | |
dc.description.affiliationUnesp | Departamento de Matemática e Computação Universidade Estadual Paulista - Unesp, CEP: 19060-900 Presidente Prudente, SP | |
dc.description.affiliationUnesp | Departamento de Matemática Instituto de Biociências Letras e Ciências Exatas - Ibilce/Unesp, CEP: 15054-000 São José do Rio Preto, SP | |
dc.identifier | http://dx.doi.org/10.1142/S0219199722500213 | |
dc.identifier.citation | Communications in Contemporary Mathematics. | |
dc.identifier.doi | 10.1142/S0219199722500213 | |
dc.identifier.issn | 0219-1997 | |
dc.identifier.scopus | 2-s2.0-85131072961 | |
dc.identifier.uri | http://hdl.handle.net/11449/241079 | |
dc.language.iso | eng | |
dc.relation.ispartof | Communications in Contemporary Mathematics | |
dc.source | Scopus | |
dc.subject | 1-Laplacian operator | |
dc.subject | Hénon-type equation | |
dc.subject | space of functions of bounded variation | |
dc.subject | symmetry breaking | |
dc.title | Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator | en |
dc.type | Artigo | |
unesp.department | Matemática e Computação - FCT | pt |