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The closing lemma and the planar general density theorem for Sobolev maps

dc.contributor.authorAzevedo, Assis
dc.contributor.authorAzevedo, Davide
dc.contributor.authorBessa, Mário
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2023-05-29T14:20:35Z
dc.date.available2023-05-29T14:20:35Z
dc.date.issued2021
dc.description.abstractWe prove that given a non-wandering point of a Sobolev-(1,p) homeomorphism we can create closed trajectories by making arbitrarily small perturbations. As an application, in the planar case, we obtain that generically the closed trajectories are dense in the non-wandering set.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationA. Azevedo, D. Azevedo, M. Bessa, M. J. Torres, The closing lemma and the planar general density theorem for Sobolev maps, Proc. Amer. Math. Soc. 149, 1687-1696, 2021pt_PT
dc.identifier.doi10.1090/proc/15352pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13879
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherAMS - American Mathematical Societypt_PT
dc.relationCentre of Mathematics of the University of Minho
dc.titleThe closing lemma and the planar general density theorem for Sobolev mapspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre of Mathematics of the University of Minho
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00013%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT
oaire.citation.endPage1696pt_PT
oaire.citation.issue4pt_PT
oaire.citation.startPage1687pt_PT
oaire.citation.titleProceedings of the American Mathematical Societypt_PT
oaire.citation.volume149pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream3599-PPCDT
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.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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