Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | |
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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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/openAccess2024-06-19T14:31:49Zoai:repositorio.unesp.br:11449/227615Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:18:19.860377Repositório 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_ |
1808128344049319936 |