Existence and multiplicity results for partial differential inclusions via nonsmooth local linking

Detalhes bibliográficos
Autor(a) principal: Iannizzotto, Antonio
Data de Publicação: 2020
Outros Autores: Staicu, Vasile
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/35313
Resumo: We consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential is p-superlinear or at most asymptotically p-linear at infinity.
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spelling Existence and multiplicity results for partial differential inclusions via nonsmooth local linkingp-LaplacianPartial differential inclusionMorse theoryWe consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential is p-superlinear or at most asymptotically p-linear at infinity.Yokohama Publishers2022-11-25T16:50:59Z2020-06-01T00:00:00Z2020-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35313eng1345-4773Iannizzotto, AntonioStaicu, Vasileinfo: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:RCAAP2024-02-22T12:07:59Zoai:ria.ua.pt:10773/35313Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:21.435523Repositório 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 Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
title Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
spellingShingle Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
Iannizzotto, Antonio
p-Laplacian
Partial differential inclusion
Morse theory
title_short Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
title_full Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
title_fullStr Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
title_full_unstemmed Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
title_sort Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
author Iannizzotto, Antonio
author_facet Iannizzotto, Antonio
Staicu, Vasile
author_role author
author2 Staicu, Vasile
author2_role author
dc.contributor.author.fl_str_mv Iannizzotto, Antonio
Staicu, Vasile
dc.subject.por.fl_str_mv p-Laplacian
Partial differential inclusion
Morse theory
topic p-Laplacian
Partial differential inclusion
Morse theory
description We consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential is p-superlinear or at most asymptotically p-linear at infinity.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-01T00:00:00Z
2020-06-01
2022-11-25T16:50:59Z
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/10773/35313
url http://hdl.handle.net/10773/35313
dc.language.iso.fl_str_mv eng
language eng
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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 Yokohama Publishers
publisher.none.fl_str_mv Yokohama Publishers
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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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
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