Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems
Autor(a) principal: | |
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Data de Publicação: | 2022 |
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/10773/35311 |
Resumo: | We consider quasilinear elliptic systems in divergence form. In general,we cannot expect thatweak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coeficients have a "butterfly support": this allows us to prove local boundedness of weak solutions. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systemsQuasilinearEllipticSystemWeakSolutionRegularityWe consider quasilinear elliptic systems in divergence form. In general,we cannot expect thatweak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coeficients have a "butterfly support": this allows us to prove local boundedness of weak solutions.De Gruyter Open2022-11-25T16:25:59Z2022-01-01T00:00:00Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35311eng2191-949610.1515/anona-2021-0205Leonardi, SalvatoreLeonetti, FrancescoRocha, EugénioStaicu, Vasileinfo: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:RCAAP2024-02-22T12:07:58Zoai:ria.ua.pt:10773/35311Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:21.348652Repositório 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 |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
title |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
spellingShingle |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems Leonardi, Salvatore Quasilinear Elliptic System Weak Solution Regularity |
title_short |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
title_full |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
title_fullStr |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
title_full_unstemmed |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
title_sort |
Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems |
author |
Leonardi, Salvatore |
author_facet |
Leonardi, Salvatore Leonetti, Francesco Rocha, Eugénio Staicu, Vasile |
author_role |
author |
author2 |
Leonetti, Francesco Rocha, Eugénio Staicu, Vasile |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Leonardi, Salvatore Leonetti, Francesco Rocha, Eugénio Staicu, Vasile |
dc.subject.por.fl_str_mv |
Quasilinear Elliptic System Weak Solution Regularity |
topic |
Quasilinear Elliptic System Weak Solution Regularity |
description |
We consider quasilinear elliptic systems in divergence form. In general,we cannot expect thatweak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coeficients have a "butterfly support": this allows us to prove local boundedness of weak solutions. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-11-25T16:25:59Z 2022-01-01T00:00:00Z 2022 |
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/10773/35311 |
url |
http://hdl.handle.net/10773/35311 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2191-9496 10.1515/anona-2021-0205 |
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 |
De Gruyter Open |
publisher.none.fl_str_mv |
De Gruyter Open |
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 |
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1799137718887776256 |