A-Variational Principles

Detalhes bibliográficos
Autor(a) principal: Bandeira, Luís
Data de Publicação: 2023
Outros Autores: Pedregal, Pablo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/35709
https://doi.org/Bandeira, L., Pedregal, P. -Variational Principles. Milan J. Math. 91, 293–314 (2023). https://doi.org/10.1007/s00032-023-00382-5
https://doi.org/10.1007/s00032-023-00382-5
Resumo: Though the A-quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical curl-case. Our aim is to propose such a family of problems in the div−curl-situation, and explore the corresponding A-polyconvexity condition as the main structural assumption to ensure weak lower semicontinuity and existence results.
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spelling A-Variational PrinciplesPolyconvexityWeak lower semicontinuityConstant-rank linear partial differential operatorThough the A-quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical curl-case. Our aim is to propose such a family of problems in the div−curl-situation, and explore the corresponding A-polyconvexity condition as the main structural assumption to ensure weak lower semicontinuity and existence results.Milan Journal of Mathematics2023-11-22T11:09:38Z2023-11-222023-07-06T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/35709https://doi.org/Bandeira, L., Pedregal, P. -Variational Principles. Milan J. Math. 91, 293–314 (2023). https://doi.org/10.1007/s00032-023-00382-5https://doi.org/10.1007/s00032-023-00382-5http://hdl.handle.net/10174/35709https://doi.org/10.1007/s00032-023-00382-5englmzb@uevora.ptpablo.pedregal@uclm.es334Bandeira, LuísPedregal, Pabloinfo: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:RCAAP2024-01-03T19:38:48Zoai:dspace.uevora.pt:10174/35709Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:23:45.583704Repositório 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 A-Variational Principles
title A-Variational Principles
spellingShingle A-Variational Principles
Bandeira, Luís
Polyconvexity
Weak lower semicontinuity
Constant-rank linear partial differential operator
title_short A-Variational Principles
title_full A-Variational Principles
title_fullStr A-Variational Principles
title_full_unstemmed A-Variational Principles
title_sort A-Variational Principles
author Bandeira, Luís
author_facet Bandeira, Luís
Pedregal, Pablo
author_role author
author2 Pedregal, Pablo
author2_role author
dc.contributor.author.fl_str_mv Bandeira, Luís
Pedregal, Pablo
dc.subject.por.fl_str_mv Polyconvexity
Weak lower semicontinuity
Constant-rank linear partial differential operator
topic Polyconvexity
Weak lower semicontinuity
Constant-rank linear partial differential operator
description Though the A-quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical curl-case. Our aim is to propose such a family of problems in the div−curl-situation, and explore the corresponding A-polyconvexity condition as the main structural assumption to ensure weak lower semicontinuity and existence results.
publishDate 2023
dc.date.none.fl_str_mv 2023-11-22T11:09:38Z
2023-11-22
2023-07-06T00:00:00Z
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/10174/35709
https://doi.org/Bandeira, L., Pedregal, P. -Variational Principles. Milan J. Math. 91, 293–314 (2023). https://doi.org/10.1007/s00032-023-00382-5
https://doi.org/10.1007/s00032-023-00382-5
http://hdl.handle.net/10174/35709
https://doi.org/10.1007/s00032-023-00382-5
url http://hdl.handle.net/10174/35709
https://doi.org/Bandeira, L., Pedregal, P. -Variational Principles. Milan J. Math. 91, 293–314 (2023). https://doi.org/10.1007/s00032-023-00382-5
https://doi.org/10.1007/s00032-023-00382-5
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv lmzb@uevora.pt
pablo.pedregal@uclm.es
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Milan Journal of Mathematics
publisher.none.fl_str_mv Milan Journal 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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