Minimizers of a functional of the gradient, which are stable with respect to affine boundary data

Detalhes bibliográficos
Autor(a) principal: Goncharov, Vladimir
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/2547
Resumo: We study the family of minimizers of an integral functional of the gradient over all Sobolev functions, which have a constant gradient v on the boundary, and give some results (including a category theorem) on continuous dependence of such minimizers on the vector v with respect to the uniform topology.
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spelling Minimizers of a functional of the gradient, which are stable with respect to affine boundary datascalar variational problemnonconvex lagrangianBaire category theoremcontinuous selectionLipschitz selectiondensityWe study the family of minimizers of an integral functional of the gradient over all Sobolev functions, which have a constant gradient v on the boundary, and give some results (including a category theorem) on continuous dependence of such minimizers on the vector v with respect to the uniform topology.Allerton Press, Inc.2011-02-10T09:58:07Z2011-02-102006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article221897 bytesapplication/pdfhttp://hdl.handle.net/10174/2547http://hdl.handle.net/10174/2547eng1-1316Siberian Advances in Mathematics3livregoncha@uevora.pt334Goncharov, Vladimirinfo: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:RCAAP2024-01-03T18:39:05Zoai:dspace.uevora.pt:10174/2547Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:58:13.774749Repositório 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 Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
title Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
spellingShingle Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
Goncharov, Vladimir
scalar variational problem
nonconvex lagrangian
Baire category theorem
continuous selection
Lipschitz selection
density
title_short Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
title_full Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
title_fullStr Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
title_full_unstemmed Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
title_sort Minimizers of a functional of the gradient, which are stable with respect to affine boundary data
author Goncharov, Vladimir
author_facet Goncharov, Vladimir
author_role author
dc.contributor.author.fl_str_mv Goncharov, Vladimir
dc.subject.por.fl_str_mv scalar variational problem
nonconvex lagrangian
Baire category theorem
continuous selection
Lipschitz selection
density
topic scalar variational problem
nonconvex lagrangian
Baire category theorem
continuous selection
Lipschitz selection
density
description We study the family of minimizers of an integral functional of the gradient over all Sobolev functions, which have a constant gradient v on the boundary, and give some results (including a category theorem) on continuous dependence of such minimizers on the vector v with respect to the uniform topology.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01T00:00:00Z
2011-02-10T09:58:07Z
2011-02-10
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/10174/2547
http://hdl.handle.net/10174/2547
url http://hdl.handle.net/10174/2547
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1-13
16
Siberian Advances in Mathematics
3
livre
goncha@uevora.pt
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 221897 bytes
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dc.publisher.none.fl_str_mv Allerton Press, Inc.
publisher.none.fl_str_mv Allerton Press, Inc.
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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