Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent

Detalhes bibliográficos
Autor(a) principal: Chen, Jianqing
Data de Publicação: 2019
Outros Autores: Huang, Lirong, Rocha, Eugénio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/26145
Resumo: This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrödinger-Poisson system(Forumala Presented). Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when µ = µ 1 is the first eigenvalue of −∆u + u = µh(x)u in H 1 (R 3 )
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spelling Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponentGround state and bound statesBifurcation propertiesSchrodinger-Poisson systemVariational methodThis article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrödinger-Poisson system(Forumala Presented). Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when µ = µ 1 is the first eigenvalue of −∆u + u = µh(x)u in H 1 (R 3 )Texas State University, Department of Mathematics2019-05-30T11:43:54Z2019-01-01T00:00:00Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26145eng1072-6691Chen, JianqingHuang, LirongRocha, Eugénioinfo: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:RCAAP2024-02-22T11:50:38Zoai:ria.ua.pt:10773/26145Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:12.841712Repositório 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 Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
title Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
spellingShingle Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
Chen, Jianqing
Ground state and bound states
Bifurcation properties
Schrodinger-Poisson system
Variational method
title_short Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
title_full Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
title_fullStr Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
title_full_unstemmed Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
title_sort Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent
author Chen, Jianqing
author_facet Chen, Jianqing
Huang, Lirong
Rocha, Eugénio
author_role author
author2 Huang, Lirong
Rocha, Eugénio
author2_role author
author
dc.contributor.author.fl_str_mv Chen, Jianqing
Huang, Lirong
Rocha, Eugénio
dc.subject.por.fl_str_mv Ground state and bound states
Bifurcation properties
Schrodinger-Poisson system
Variational method
topic Ground state and bound states
Bifurcation properties
Schrodinger-Poisson system
Variational method
description This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrödinger-Poisson system(Forumala Presented). Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when µ = µ 1 is the first eigenvalue of −∆u + u = µh(x)u in H 1 (R 3 )
publishDate 2019
dc.date.none.fl_str_mv 2019-05-30T11:43:54Z
2019-01-01T00:00:00Z
2019
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/10773/26145
url http://hdl.handle.net/10773/26145
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1072-6691
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 Texas State University, Department of Mathematics
publisher.none.fl_str_mv Texas State University, Department of Mathematics
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
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
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