Please use this identifier to cite or link to this item:

TitleThe closing lemma and the planar general density theorem for Sobolev maps
Author(s)Azevedo, Assis
Azevedo, Davide Manuel Santos
Bessa, Mário
Torres, M. J.
KeywordsPeriodic points
Closing lemma
General density theorem
Sobolev-(1,p) class
P) class
Issue date2021
PublisherAmerican Mathematical Society
JournalProceedings of the American Mathematical Society
Abstract(s)We prove that given a non-wandering point of a Sobolev-(1,p) homeomorphism we can create closed trajectories by making arbitrarily small perturbations. As na application, in the planar case, we obtain that generically the closed trajectories are dense in the non- wandering set.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
PAMS_AABT.pdf359,76 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID