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Diffeomorphic approximation of Sobolev homeomorphisms.

Fri, 09/03/2010 - 15:01 — SomNambul
Authors: Leonid V. Kovalev, Tadeusz Iwaniec, Jani Onninen
Subjects: Analysis of PDEs
link: http://arxiv.org/abs/1009.0286
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.