Calculus of Variations and Geometric Measure Theory
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S. Daneri - A. Pratelli

Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

created by pratelli on 02 Jun 2011
modified on 16 Feb 2015

[BibTeX]

Published Paper

Inserted: 2 jun 2011
Last Updated: 16 feb 2015

Journal: Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire
Year: 2014

Abstract:

We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the $W^{1,p}$ norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.


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