Strongly nonlinear second order multivalued Dirichlet systems

Detalhes bibliográficos
Autor(a) principal: Aizicovici, Sergiu
Data de Publicação: 2018
Outros Autores: Papageorgiou, Nikolaos Socrates, Staicu, V
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/21972
Resumo: We consider second order nonlinear Dirichlet systems driven by a nonlinear nonhomogeneous differential operator. The reaction term consists of a maximal monotone map A(⋅) plus a multivalued perturbation F depending also on derivative. Using tools from multivalued analysis and from the theory of nonlinear operators of monotone type, we prove existence theorems both for the "convex" (F is convex-valued) and the "nonconvex" (F is nonconvex-valued) problems. We also present an example of a system with unilateral constraint.
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spelling Strongly nonlinear second order multivalued Dirichlet systemsMaximal monotone operatorP-Laplace-likeVector Sobolev spaceWe consider second order nonlinear Dirichlet systems driven by a nonlinear nonhomogeneous differential operator. The reaction term consists of a maximal monotone map A(⋅) plus a multivalued perturbation F depending also on derivative. Using tools from multivalued analysis and from the theory of nonlinear operators of monotone type, we prove existence theorems both for the "convex" (F is convex-valued) and the "nonconvex" (F is nonconvex-valued) problems. We also present an example of a system with unilateral constraint.Biemdas Academic Publishers Inc.2018-01-31T16:04:49Z2018-01-01T00:00:00Z2018-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/21972eng2560-677810.23952/jnva.2.2018.1.02Aizicovici, SergiuPapageorgiou, Nikolaos SocratesStaicu, Vinfo: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:RCAAP2024-02-22T11:43:05Zoai:ria.ua.pt:10773/21972Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:56:15.452020Repositório 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 Strongly nonlinear second order multivalued Dirichlet systems
title Strongly nonlinear second order multivalued Dirichlet systems
spellingShingle Strongly nonlinear second order multivalued Dirichlet systems
Aizicovici, Sergiu
Maximal monotone operator
P-Laplace-like
Vector Sobolev space
title_short Strongly nonlinear second order multivalued Dirichlet systems
title_full Strongly nonlinear second order multivalued Dirichlet systems
title_fullStr Strongly nonlinear second order multivalued Dirichlet systems
title_full_unstemmed Strongly nonlinear second order multivalued Dirichlet systems
title_sort Strongly nonlinear second order multivalued Dirichlet systems
author Aizicovici, Sergiu
author_facet Aizicovici, Sergiu
Papageorgiou, Nikolaos Socrates
Staicu, V
author_role author
author2 Papageorgiou, Nikolaos Socrates
Staicu, V
author2_role author
author
dc.contributor.author.fl_str_mv Aizicovici, Sergiu
Papageorgiou, Nikolaos Socrates
Staicu, V
dc.subject.por.fl_str_mv Maximal monotone operator
P-Laplace-like
Vector Sobolev space
topic Maximal monotone operator
P-Laplace-like
Vector Sobolev space
description We consider second order nonlinear Dirichlet systems driven by a nonlinear nonhomogeneous differential operator. The reaction term consists of a maximal monotone map A(⋅) plus a multivalued perturbation F depending also on derivative. Using tools from multivalued analysis and from the theory of nonlinear operators of monotone type, we prove existence theorems both for the "convex" (F is convex-valued) and the "nonconvex" (F is nonconvex-valued) problems. We also present an example of a system with unilateral constraint.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-31T16:04:49Z
2018-01-01T00:00:00Z
2018-01
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/10773/21972
url http://hdl.handle.net/10773/21972
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2560-6778
10.23952/jnva.2.2018.1.02
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 Biemdas Academic Publishers Inc.
publisher.none.fl_str_mv Biemdas Academic Publishers Inc.
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
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instacron_str RCAAP
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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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