Boundedness of the extremal solution of some p-Laplacian problems

Detalhes bibliográficos
Autor(a) principal: Sanchón, Manel
Data de Publicação: 2007
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4603
https://doi.org/10.1016/j.na.2006.05.010
Resumo: In this article we consider the p-Laplace equation on a smooth bounded domain of with zero Dirichlet boundary conditions. Under adequate assumptions on f we prove that the extremal solution of this problem is in the energy class independently of the domain. We also obtain Lq and W1,q estimates for such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f.
id RCAP_8e4c6a0edf5180853ffa2ee11954314f
oai_identifier_str oai:estudogeral.uc.pt:10316/4603
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Boundedness of the extremal solution of some p-Laplacian problemsp-LaplacianExtremal solutionRegularityIn this article we consider the p-Laplace equation on a smooth bounded domain of with zero Dirichlet boundary conditions. Under adequate assumptions on f we prove that the extremal solution of this problem is in the energy class independently of the domain. We also obtain Lq and W1,q estimates for such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f.http://www.sciencedirect.com/science/article/B6V0Y-4KFV38H-1/1/cea49519619442ca6f3831d7928ae4e42007info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4603http://hdl.handle.net/10316/4603https://doi.org/10.1016/j.na.2006.05.010engNonlinear Analysis: Theory, Methods & Applications. 67:1 (2007) 281-294Sanchón, Manelinfo: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:RCAAP2020-11-06T16:49:16Zoai:estudogeral.uc.pt:10316/4603Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:45.559086Repositório 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 Boundedness of the extremal solution of some p-Laplacian problems
title Boundedness of the extremal solution of some p-Laplacian problems
spellingShingle Boundedness of the extremal solution of some p-Laplacian problems
Sanchón, Manel
p-Laplacian
Extremal solution
Regularity
title_short Boundedness of the extremal solution of some p-Laplacian problems
title_full Boundedness of the extremal solution of some p-Laplacian problems
title_fullStr Boundedness of the extremal solution of some p-Laplacian problems
title_full_unstemmed Boundedness of the extremal solution of some p-Laplacian problems
title_sort Boundedness of the extremal solution of some p-Laplacian problems
author Sanchón, Manel
author_facet Sanchón, Manel
author_role author
dc.contributor.author.fl_str_mv Sanchón, Manel
dc.subject.por.fl_str_mv p-Laplacian
Extremal solution
Regularity
topic p-Laplacian
Extremal solution
Regularity
description In this article we consider the p-Laplace equation on a smooth bounded domain of with zero Dirichlet boundary conditions. Under adequate assumptions on f we prove that the extremal solution of this problem is in the energy class independently of the domain. We also obtain Lq and W1,q estimates for such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f.
publishDate 2007
dc.date.none.fl_str_mv 2007
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/10316/4603
http://hdl.handle.net/10316/4603
https://doi.org/10.1016/j.na.2006.05.010
url http://hdl.handle.net/10316/4603
https://doi.org/10.1016/j.na.2006.05.010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Analysis: Theory, Methods & Applications. 67:1 (2007) 281-294
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/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
repository.mail.fl_str_mv
_version_ 1799133897645096961

Registros relacionados