Sobolev homeomorphisms are dense in volume preserving automorphisms

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dc.contributor.authorAzevedo, Assispor
dc.contributor.authorAzevedo, Davidepor
dc.contributor.authorCosta, Mário Júlio Pereira Bessapor
dc.contributor.authorTorres, M. J.por
dc.date.accessioned2020-03-03T15:21:47Z
dc.date.available2020-03-03T15:21:47Z
dc.date.issued2019-12
dc.description.abstractIn this paper we prove a Lusin theorem for the space of Sobolev-(1,p) volume preserving homeomorphism 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.por
dc.description.sponsorshipThe authors would like to thank the anonymous referee for the careful reading of the manuscript and for giving very helpful comments and suggestions. AA and MJT were partially supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the “Fundação para a Ciência e a Tecnologia”, through the Project UID/MAT/ 00013/2013. MB was partially supported by FCT - ‘Fundação para a Ciência e a Tecnologia’, through Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, project UID/MAT/00212/2013.por
dc.distributioninternationalpor
dc.identifier.doi10.1016/j.jfa.2018.10.008por
dc.identifier.eissn1096-0783por
dc.identifier.issn0022-1236por
dc.identifier.urihttps://hdl.handle.net/1822/64201
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevierpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147370/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147408/PTpor
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022123618303781por
dc.rightsopenAccesspor
dc.subjectLusin theorempor
dc.subjectVolume preservingpor
dc.subjectSobolev homeomorphismpor
dc.subject.fosCiências Naturais::Matemáticaspor
dc.subject.wosScience & Technologypor
dc.titleSobolev homeomorphisms are dense in volume preserving automorphismspor
dc.typearticlepor
dspace.entity.typePublicationen
oaire.citationEndPage3274por
oaire.citationIssue10por
oaire.citationStartPage3261por
oaire.citationVolume276por
oaire.versionAOpor
sdum.journalJournal of Functional Analysispor

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