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Sobolev homeomorphisms are dense in volume preserving automorphisms

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dc.contributor.authorAzevedo, Assis
dc.contributor.authorAzevedo, Davide
dc.contributor.authorBessa, Mário
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2023-05-25T12:02:06Z
dc.date.available2023-05-25T12:02:06Z
dc.date.issued2019
dc.description.abstractIn 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationA. Azevedo, D.Azevedo, M. Bessa, M.J. Torres, Sobolev homeomorphisms are dense in volume preserving automorphisms, 276, 10, 3261-3274, 2019pt_PT
dc.identifier.doi10.1016/j.jfa.2018.10.008pt_PT
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/10400.2/13847
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationCentre of Mathematics of the University of Minho
dc.relationCenter of Mathematics and Applications of University of Beira Interior
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022123618303781pt_PT
dc.subjectLusin theorempt_PT
dc.subjectVolume preservingpt_PT
dc.subjectSobolev homeomorphismpt_PT
dc.titleSobolev homeomorphisms are dense in volume preserving automorphismspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre of Mathematics of the University of Minho
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00013%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT
oaire.citation.endPage3274pt_PT
oaire.citation.issue10pt_PT
oaire.citation.startPage3261pt_PT
oaire.citation.titleJournal of Functional Analysispt_PT
oaire.citation.volume276pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameSANTOS AZEVEDO
person.familyNameBessa
person.familyNameda Costa Cruz de Oliveira Torres
person.givenNameDAVIDE MANUEL
person.givenNameMário
person.givenNameMaria Joana
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-id0416-EC94-1784
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id4612-CB41-300A
person.identifier.orcid0000-0003-1727-9602
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-3673-5776
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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