The nonlinear problem of two membranes

Detalhes bibliográficos
Autor(a) principal: Santos, Lisa
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/1822/5891
Resumo: The problem of finding the position of two membranes, one constrained by the other, attached to rigid supports, subjected to external forces, is considered. It is proved existence of solution, if we assume a compatibility condition relating the mean curvature of the boundary of the set where the problem is defined and the given data. It is also proved the W^{2,p} regularity of the solution for P greater or equal to 1.
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spelling The nonlinear problem of two membranesVariational inequalitiesPartial differential equationsMinimal surfaces operatorThe problem of finding the position of two membranes, one constrained by the other, attached to rigid supports, subjected to external forces, is considered. It is proved existence of solution, if we assume a compatibility condition relating the mean curvature of the boundary of the set where the problem is defined and the given data. It is also proved the W^{2,p} regularity of the solution for P greater or equal to 1.Fundação para a Ciência e a Tecnologia (FCT)Universidade do MinhoSantos, Lisa20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/5891eng"Rendiconti di Matematica". ISSN 1120-7183. série VII. 26 (2006) 231-247.1120-7183info: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:RCAAP2023-07-21T12:52:59Zoai:repositorium.sdum.uminho.pt:1822/5891Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:52:14.679739Repositório 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 The nonlinear problem of two membranes
title The nonlinear problem of two membranes
spellingShingle The nonlinear problem of two membranes
Santos, Lisa
Variational inequalities
Partial differential equations
Minimal surfaces operator
title_short The nonlinear problem of two membranes
title_full The nonlinear problem of two membranes
title_fullStr The nonlinear problem of two membranes
title_full_unstemmed The nonlinear problem of two membranes
title_sort The nonlinear problem of two membranes
author Santos, Lisa
author_facet Santos, Lisa
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Santos, Lisa
dc.subject.por.fl_str_mv Variational inequalities
Partial differential equations
Minimal surfaces operator
topic Variational inequalities
Partial differential equations
Minimal surfaces operator
description The problem of finding the position of two membranes, one constrained by the other, attached to rigid supports, subjected to external forces, is considered. It is proved existence of solution, if we assume a compatibility condition relating the mean curvature of the boundary of the set where the problem is defined and the given data. It is also proved the W^{2,p} regularity of the solution for P greater or equal to 1.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
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/1822/5891
url http://hdl.handle.net/1822/5891
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Rendiconti di Matematica". ISSN 1120-7183. série VII. 26 (2006) 231-247.
1120-7183
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.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
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