Multiplicity of solutions for a biharmonic equation with subcritical or critical growth

Detalhes bibliográficos
Autor(a) principal: Figueiredo, Giovany M.
Data de Publicação: 2013
Outros Autores: Pimenta, Marcos T. O. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.36045/bbms/1378314513
http://hdl.handle.net/11449/227615
Resumo: We consider the fourth-order problem {ε4△2u + V(x)u = f(u) +γ |U|2..-2u inRN u ∈ H 2(RN), where ε > 0, N ≥ 5, V is a positive continuous potential, is a function with subcritical growth and γ ∈ {0,1}. We relate the number of solutions with the topology of the set where V attain its minimum values. We consider the subcritical case γ = 0 and the critical case γ = 1. In the proofs we apply Ljusternik-Schnirelmann theory.
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spelling Multiplicity of solutions for a biharmonic equation with subcritical or critical growthBiharmonic equationsNontrivial solutionsVariational methodsWe consider the fourth-order problem {ε4△2u + V(x)u = f(u) +γ |U|2..-2u inRN u ∈ H 2(RN), where ε > 0, N ≥ 5, V is a positive continuous potential, is a function with subcritical growth and γ ∈ {0,1}. We relate the number of solutions with the topology of the set where V attain its minimum values. We consider the subcritical case γ = 0 and the critical case γ = 1. In the proofs we apply Ljusternik-Schnirelmann theory.Faculdade de Matemática Universidade Federal do Pará, 66075-110, Belém - PADepartamento de Matemática e Computação Faculdade de Ciências e Tecnologia - Unesp, 19060-900, Presidente Prudente - SPDepartamento de Matemática e Computação Faculdade de Ciências e Tecnologia - Unesp, 19060-900, Presidente Prudente - SPUniversidade Federal do Pará (UFPA)Universidade Estadual Paulista (UNESP)Figueiredo, Giovany M.Pimenta, Marcos T. O. [UNESP]2022-04-29T07:14:15Z2022-04-29T07:14:15Z2013-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article519-534http://dx.doi.org/10.36045/bbms/1378314513Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 20, n. 3, p. 519-534, 2013.1370-1444http://hdl.handle.net/11449/22761510.36045/bbms/13783145132-s2.0-84896359069Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBulletin of the Belgian Mathematical Society - Simon Stevininfo:eu-repo/semantics/openAccess2022-04-29T07:14:15Zoai:repositorio.unesp.br:11449/227615Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T07:14:15Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
title Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
spellingShingle Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
Figueiredo, Giovany M.
Biharmonic equations
Nontrivial solutions
Variational methods
title_short Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
title_full Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
title_fullStr Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
title_full_unstemmed Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
title_sort Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
author Figueiredo, Giovany M.
author_facet Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
author_role author
author2 Pimenta, Marcos T. O. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal do Pará (UFPA)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Figueiredo, Giovany M.
Pimenta, Marcos T. O. [UNESP]
dc.subject.por.fl_str_mv Biharmonic equations
Nontrivial solutions
Variational methods
topic Biharmonic equations
Nontrivial solutions
Variational methods
description We consider the fourth-order problem {ε4△2u + V(x)u = f(u) +γ |U|2..-2u inRN u ∈ H 2(RN), where ε > 0, N ≥ 5, V is a positive continuous potential, is a function with subcritical growth and γ ∈ {0,1}. We relate the number of solutions with the topology of the set where V attain its minimum values. We consider the subcritical case γ = 0 and the critical case γ = 1. In the proofs we apply Ljusternik-Schnirelmann theory.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01
2022-04-29T07:14:15Z
2022-04-29T07:14:15Z
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/10.36045/bbms/1378314513
Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 20, n. 3, p. 519-534, 2013.
1370-1444
http://hdl.handle.net/11449/227615
10.36045/bbms/1378314513
2-s2.0-84896359069
url http://dx.doi.org/10.36045/bbms/1378314513
http://hdl.handle.net/11449/227615
identifier_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 20, n. 3, p. 519-534, 2013.
1370-1444
10.36045/bbms/1378314513
2-s2.0-84896359069
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 519-534
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_ 1797789324876447744

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