Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term

Detalhes bibliográficos
Autor(a) principal: Chen, Jianqing
Data de Publicação: 2009
Outros Autores: Rocha, Eugénio M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15056
Resumo: In this paper, we prove the existence of four nontrivial solutions of a elliptic equation with a Hardy singularity and show that at least one of them is sign changing. Our results extend some previous works on the literature, as Tarantello(1993), Kang-Deng(2005) and Hirano-Shioji(2005).
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spelling Four solutions of an inhomogeneous elliptic equation with critical exponent and singular termVariational methodsInhomogeneous Laplacian equationSingular termFour solutionsSign changing solutionIn this paper, we prove the existence of four nontrivial solutions of a elliptic equation with a Hardy singularity and show that at least one of them is sign changing. Our results extend some previous works on the literature, as Tarantello(1993), Kang-Deng(2005) and Hirano-Shioji(2005).Elsevier2016-01-13T10:00:40Z2009-11-15T00:00:00Z2009-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15056eng0362-546X10.1016/j.na.2009.03.048Chen, JianqingRocha, Eugénio M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:27:48Zoai:ria.ua.pt:10773/15056Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:30.521881Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
title Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
spellingShingle Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
Chen, Jianqing
Variational methods
Inhomogeneous Laplacian equation
Singular term
Four solutions
Sign changing solution
title_short Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
title_full Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
title_fullStr Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
title_full_unstemmed Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
title_sort Four solutions of an inhomogeneous elliptic equation with critical exponent and singular term
author Chen, Jianqing
author_facet Chen, Jianqing
Rocha, Eugénio M.
author_role author
author2 Rocha, Eugénio M.
author2_role author
dc.contributor.author.fl_str_mv Chen, Jianqing
Rocha, Eugénio M.
dc.subject.por.fl_str_mv Variational methods
Inhomogeneous Laplacian equation
Singular term
Four solutions
Sign changing solution
topic Variational methods
Inhomogeneous Laplacian equation
Singular term
Four solutions
Sign changing solution
description In this paper, we prove the existence of four nontrivial solutions of a elliptic equation with a Hardy singularity and show that at least one of them is sign changing. Our results extend some previous works on the literature, as Tarantello(1993), Kang-Deng(2005) and Hirano-Shioji(2005).
publishDate 2009
dc.date.none.fl_str_mv 2009-11-15T00:00:00Z
2009-11-15
2016-01-13T10:00:40Z
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://hdl.handle.net/10773/15056
url http://hdl.handle.net/10773/15056
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0362-546X
10.1016/j.na.2009.03.048
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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