Diffeomorphic approximation of Sobolev homeomorphisms
Analysis of PDEs
2011-08-31 v1 Complex Variables
Abstract
Every homeomorphism h : X -> Y between planar open sets that belongs to the Sobolev class W^{1,p}(X,Y), 1<p<\infty, can be approximated in the Sobolev norm by diffeomorphisms.
Cite
@article{arxiv.1009.0286,
title = {Diffeomorphic approximation of Sobolev homeomorphisms},
author = {Tadeusz Iwaniec and Leonid V. Kovalev and Jani Onninen},
journal= {arXiv preprint arXiv:1009.0286},
year = {2011}
}
Comments
21 pages, 5 figures