JournalsaihpcVol. 31, No. 3pp. 567–589

Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

  • Sara Daneri

    Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland

  • Aldo Pratelli

    Department Mathematik, University of Erlangen, Cauerstraße 11, 91058 Erlangen, Germany
Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms cover
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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