Please use this identifier to cite or link to this item:
https://hdl.handle.net/1822/75109| Title: | The closing lemma and the planar general density theorem for Sobolev maps |
| Author(s): | Azevedo, Assis Azevedo, Davide Manuel Santos Bessa, Mário Torres, M. J. |
| Keywords: | Periodic points Closing lemma General density theorem Sobolev-(1,p) class P) class Sobolev-(1 |
| Issue date: | 2021 |
| Publisher: | American Mathematical Society |
| Journal: | Proceedings 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. |
| Type: | Article |
| URI: | https://hdl.handle.net/1822/75109 |
| DOI: | 10.1090/proc/15352 |
| ISSN: | 0002-9939 |
| e-ISSN: | 1088-6826 |
| Publisher version: | https://www.ams.org/journals/proc/2021-149-04/S0002-9939-2021-15352-5/home.html |
| Peer-Reviewed: | yes |
| Access: | Open access |
| Appears in Collections: |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| PAMS_AABT.pdf | 359,76 kB | Adobe PDF | View/Open |
