The N-membranes problem with Neumann boundary condition

Bibliographic Details
Main Author: Azevedo, Assis
Publication Date: 2006
Other Authors: Rodrigues, José Francisco, Santos, Lisa
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/6005
Summary: Published: 11 January 2007
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spelling The N-membranes problem with Neumann boundary conditionMembranesCoincidence setsvariational inequalitiesLewy-Stampacchia inequalitiesScience & TechnologyPublished: 11 January 2007We consider the problem of finding the equilibrium position of N membranes constrained not to pass through each other, under prescribed volumic forces and boundary tensions. This model corresponds to solve variationally a N-system for linear second order elliptic equations with sequential constraints. We obtain interior and boundary Lewy-Stampacchia type inequalities for the respective solution and we establish the conditions for stability in measure of the interior contact zones of the membranes.Fundação para a Ciência e a Tecnologia (FCT)BirkhäuserUniversidade do MinhoAzevedo, AssisRodrigues, José FranciscoSantos, Lisa20062006-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/1822/6005engAzevedo, A., Rodrigues, J.F., Santos, L. (2006). The N-membranes Problem with Neumann Type Boundary Condition. In: Figueiredo, I.N., Rodrigues, J.F., Santos, L. (eds) Free Boundary Problems. International Series of Numerical Mathematics, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7719-9_6978-3-7643-7718-210.1007/978-3-7643-7719-9_6978-3-7643-7719-9https://link.springer.com/chapter/10.1007/978-3-7643-7719-9_6info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T06:36:38Zoai:repositorium.sdum.uminho.pt:1822/6005Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:58:55.984831Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The N-membranes problem with Neumann boundary condition
title The N-membranes problem with Neumann boundary condition
spellingShingle The N-membranes problem with Neumann boundary condition
Azevedo, Assis
Membranes
Coincidence sets
variational inequalities
Lewy-Stampacchia inequalities
Science & Technology
title_short The N-membranes problem with Neumann boundary condition
title_full The N-membranes problem with Neumann boundary condition
title_fullStr The N-membranes problem with Neumann boundary condition
title_full_unstemmed The N-membranes problem with Neumann boundary condition
title_sort The N-membranes problem with Neumann boundary condition
author Azevedo, Assis
author_facet Azevedo, Assis
Rodrigues, José Francisco
Santos, Lisa
author_role author
author2 Rodrigues, José Francisco
Santos, Lisa
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Azevedo, Assis
Rodrigues, José Francisco
Santos, Lisa
dc.subject.por.fl_str_mv Membranes
Coincidence sets
variational inequalities
Lewy-Stampacchia inequalities
Science & Technology
topic Membranes
Coincidence sets
variational inequalities
Lewy-Stampacchia inequalities
Science & Technology
description Published: 11 January 2007
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/6005
url https://hdl.handle.net/1822/6005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Azevedo, A., Rodrigues, J.F., Santos, L. (2006). The N-membranes Problem with Neumann Type Boundary Condition. In: Figueiredo, I.N., Rodrigues, J.F., Santos, L. (eds) Free Boundary Problems. International Series of Numerical Mathematics, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7719-9_6
978-3-7643-7718-2
10.1007/978-3-7643-7719-9_6
978-3-7643-7719-9
https://link.springer.com/chapter/10.1007/978-3-7643-7719-9_6
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 Birkhäuser
publisher.none.fl_str_mv Birkhäuser
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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