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The nonlinear problem of two membranes

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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.
Autores principais:Santos, Lisa
Assunto:Variational inequalities Partial differential equations Minimal surfaces operator
Ano:2006
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Santos, Lisa
author_facet Santos, Lisa
author_role author
contributor_name_str_mv RepositóriUM - Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Santos, Lisa\"}]
datacite.contributors.contributor.contributorName.fl_str_mv RepositóriUM - Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Santos, Lisa
datacite.date.Accepted.fl_str_mv 2006-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2006-12-12T09:48:37Z
datacite.date.embargoed.fl_str_mv 2006-12-12T09:48:37Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Variational inequalities
Partial differential equations
Minimal surfaces operator
datacite.titles.title.fl_str_mv The nonlinear problem of two membranes
dc.contributor.none.fl_str_mv RepositóriUM - Universidade do Minho
dc.creator.none.fl_str_mv Santos, Lisa
dc.date.Accepted.fl_str_mv 2006-01-01T00:00:00Z
dc.date.available.fl_str_mv 2006-12-12T09:48:37Z
dc.date.embargoed.fl_str_mv 2006-12-12T09:48:37Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/5891
dc.language.none.fl_str_mv eng
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Variational inequalities
Partial differential equations
Minimal surfaces operator
dc.title.fl_str_mv The nonlinear problem of two membranes
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
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.
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eu_rights_str_mv openAccess
format article
fulltext.url.fl_str_mv https://repositorium.uminho.pt/bitstreams/50cdfd49-e72a-4d95-a32d-5041f48f1193/download
id rum_cd59cfbe4ffc845b6c8c69259f5dbd2a
identifier.url.fl_str_mv https://hdl.handle.net/1822/5891
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institution Universidade do Minho
instname_str Universidade do Minho
language eng
network_acronym_str rum
network_name_str RepositóriUM - Universidade do Minho
oai_identifier_str oai:repositorium.uminho.pt:1822/5891
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Santos, Lisa
publishDate 2006
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engengThe 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.application/pdfengThe nonlinear problem of two membranesSantos, LisaHostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptCITATION"Rendiconti di Matematica". ISSN 1120-7183. série VII. 26 (2006) 231-247.ISSNIsPartOf1120-71832006-12-12T09:48:37Z20062006-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/5891http://purl.org/coar/access_right/c_abf2open accessVariational inequalitiesPartial differential equationsMinimal surfaces operator208334 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/50cdfd49-e72a-4d95-a32d-5041f48f1193/download
spellingShingle The nonlinear problem of two membranes
Santos, Lisa
Variational inequalities
Partial differential equations
Minimal surfaces operator
status SINGLETON
subject.fl_str_mv Variational inequalities
Partial differential equations
Minimal surfaces operator
title 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_short The nonlinear problem of two membranes
title_sort The nonlinear problem of two membranes
topic Variational inequalities
Partial differential equations
Minimal surfaces operator
topic_facet Variational inequalities
Partial differential equations
Minimal surfaces operator
url https://hdl.handle.net/1822/5891
visible 1