Calculus of Variations and Geometric Measure Theory

S. Daneri - A. Pratelli

Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

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


Published Paper

Inserted: 2 jun 2011
Last Updated: 16 feb 2015

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


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.