Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
Sara Daneri
Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, SwitzerlandAldo Pratelli
Department Mathematik, University of Erlangen, Cauerstraße 11, 91058 Erlangen, Germany
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Abstract
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.
Cite this article
Sara Daneri, Aldo Pratelli, Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms. Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), no. 3, pp. 567–589
DOI 10.1016/J.ANIHPC.2013.04.007