Sobolev homeomorphisms are dense in volume preserving automorphisms
Autor(a) principal: | |
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Data de Publicação: | 2019 |
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/10400.2/13847 |
Resumo: | In this paper we prove a weak version of Lusin’s theorem for the space of Sobolev-(1,p) volume preserving homeomor- phisms on closed and connected n-dimensional manifolds, n ≥ 3, for p < n − 1. We also prove that if p > n this result is not true. More precisely, we obtain the density of Sobolev-(1,p) homeomorphisms in the space of volume pre- serving automorphisms, for the weak topology. Furthermore, the regularization of an automorphism in a uniform ball cen- tered at the identity can be done in a Sobolev-(1, p) ball with the same radius centered at the identity. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Sobolev homeomorphisms are dense in volume preserving automorphismsLusin theoremVolume preservingSobolev homeomorphismIn this paper we prove a weak version of Lusin’s theorem for the space of Sobolev-(1,p) volume preserving homeomor- phisms on closed and connected n-dimensional manifolds, n ≥ 3, for p < n − 1. We also prove that if p > n this result is not true. More precisely, we obtain the density of Sobolev-(1,p) homeomorphisms in the space of volume pre- serving automorphisms, for the weak topology. Furthermore, the regularization of an automorphism in a uniform ball cen- tered at the identity can be done in a Sobolev-(1, p) ball with the same radius centered at the identity.ElsevierRepositório AbertoAzevedo, AssisAzevedo, DavideBessa, MárioTorres, Maria Joana2023-05-25T12:02:06Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13847engA. Azevedo, D.Azevedo, M. Bessa, M.J. Torres, Sobolev homeomorphisms are dense in volume preserving automorphisms, 276, 10, 3261-3274, 20190022-123610.1016/j.jfa.2018.10.008info: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:RCAAP2023-11-16T15:46:12Zoai:repositorioaberto.uab.pt:10400.2/13847Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:52:47.387838Repositório 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 |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
title |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
spellingShingle |
Sobolev homeomorphisms are dense in volume preserving automorphisms Azevedo, Assis Lusin theorem Volume preserving Sobolev homeomorphism |
title_short |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
title_full |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
title_fullStr |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
title_full_unstemmed |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
title_sort |
Sobolev homeomorphisms are dense in volume preserving automorphisms |
author |
Azevedo, Assis |
author_facet |
Azevedo, Assis Azevedo, Davide Bessa, Mário Torres, Maria Joana |
author_role |
author |
author2 |
Azevedo, Davide Bessa, Mário Torres, Maria Joana |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Repositório Aberto |
dc.contributor.author.fl_str_mv |
Azevedo, Assis Azevedo, Davide Bessa, Mário Torres, Maria Joana |
dc.subject.por.fl_str_mv |
Lusin theorem Volume preserving Sobolev homeomorphism |
topic |
Lusin theorem Volume preserving Sobolev homeomorphism |
description |
In this paper we prove a weak version of Lusin’s theorem for the space of Sobolev-(1,p) volume preserving homeomor- phisms on closed and connected n-dimensional manifolds, n ≥ 3, for p < n − 1. We also prove that if p > n this result is not true. More precisely, we obtain the density of Sobolev-(1,p) homeomorphisms in the space of volume pre- serving automorphisms, for the weak topology. Furthermore, the regularization of an automorphism in a uniform ball cen- tered at the identity can be done in a Sobolev-(1, p) ball with the same radius centered at the identity. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z 2023-05-25T12:02:06Z |
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/10400.2/13847 |
url |
http://hdl.handle.net/10400.2/13847 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
A. Azevedo, D.Azevedo, M. Bessa, M.J. Torres, Sobolev homeomorphisms are dense in volume preserving automorphisms, 276, 10, 3261-3274, 2019 0022-1236 10.1016/j.jfa.2018.10.008 |
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 |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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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1799135121771593728 |