Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/14884 |
Resumo: | We prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue spaces. |
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Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spacesVariable exponentWeak Lebesgue spaceReal interpolationRiesz potentialWolff potentialNon-standard growth conditionIntegrability of solutionsIntegrability estimatesWe prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue spaces.Springer2015-042015-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/14884eng0373-311410.1007/s10231-013-0382-2Almeida, AlexandreHarjulehto, P.Hästö, P.Lukkari, T.info: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:RCAAP2024-02-22T11:27:19Zoai:ria.ua.pt:10773/14884Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:21.671690Repositório 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 |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
title |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
spellingShingle |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces Almeida, Alexandre Variable exponent Weak Lebesgue space Real interpolation Riesz potential Wolff potential Non-standard growth condition Integrability of solutions Integrability estimates |
title_short |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
title_full |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
title_fullStr |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
title_full_unstemmed |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
title_sort |
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |
author |
Almeida, Alexandre |
author_facet |
Almeida, Alexandre Harjulehto, P. Hästö, P. Lukkari, T. |
author_role |
author |
author2 |
Harjulehto, P. Hästö, P. Lukkari, T. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Almeida, Alexandre Harjulehto, P. Hästö, P. Lukkari, T. |
dc.subject.por.fl_str_mv |
Variable exponent Weak Lebesgue space Real interpolation Riesz potential Wolff potential Non-standard growth condition Integrability of solutions Integrability estimates |
topic |
Variable exponent Weak Lebesgue space Real interpolation Riesz potential Wolff potential Non-standard growth condition Integrability of solutions Integrability estimates |
description |
We prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue spaces. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-04 2015-04-01T00:00:00Z |
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/10773/14884 |
url |
http://hdl.handle.net/10773/14884 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0373-3114 10.1007/s10231-013-0382-2 |
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 |
Springer |
publisher.none.fl_str_mv |
Springer |
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 |
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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 |
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1799137553766416384 |