Sobolev homeomorphisms are dense in volume preserving automorphisms

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAzevedo, Assis-
Autor(es): dc.creatorAzevedo, Davide-
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorTorres, Maria Joana-
Data de aceite: dc.date.accessioned2025-08-21T15:11:15Z-
Data de disponibilização: dc.date.available2025-08-21T15:11:15Z-
Data de envio: dc.date.issued2023-05-25-
Data de envio: dc.date.issued2023-05-25-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13847-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13847-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Relação: dc.relationCentre of Mathematics of the University of Minho-
Relação: dc.relationCenter of Mathematics and Applications of University of Beira Interior-
Relação: dc.relationhttps://www.sciencedirect.com/science/article/pii/S0022123618303781-
Palavras-chave: dc.subjectLusin theorem-
Palavras-chave: dc.subjectVolume preserving-
Palavras-chave: dc.subjectSobolev homeomorphism-
Título: dc.titleSobolev homeomorphisms are dense in volume preserving automorphisms-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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