Please use this identifier to cite or link to this item:
https://hdl.handle.net/1822/64201| Title: | Sobolev homeomorphisms are dense in volume preserving automorphisms |
| Author(s): | Azevedo, Assis Azevedo, Davide Costa, Mário Júlio Pereira Bessa Torres, M. J. |
| Keywords: | Lusin theorem Volume preserving Sobolev homeomorphism |
| Issue date: | Dec-2019 |
| Publisher: | Elsevier |
| Journal: | Journal of Functional Analysis |
| Abstract(s): | In 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. |
| Type: | Article |
| URI: | https://hdl.handle.net/1822/64201 |
| DOI: | 10.1016/j.jfa.2018.10.008 |
| ISSN: | 0022-1236 |
| e-ISSN: | 1096-0783 |
| Publisher version: | https://www.sciencedirect.com/science/article/pii/S0022123618303781 |
| Peer-Reviewed: | yes |
| Access: | Open access |
| Appears in Collections: |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Lusin_theorem_for_Sobolev_volume_preserving_homeomorphisms.pdf | 179,03 kB | Adobe PDF | View/Open |
