Butterfly support for o diagonal coeficients and boundedness of solutions to quasilinear elliptic systems

Bibliographic Details
Main Author: Leonardi, Salvatore
Publication Date: 2022
Other Authors: Leonetti, Francesco, Rocha, Eugénio, Staicu, Vasile
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/35311
Summary: 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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spelling 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:40:38Zoai:ria.ua.pt:10773/35311Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:16:39.487413Repositórios 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 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: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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