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arXiv · 1106.1192

Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

Sara Daneri·Aldo Pratelli
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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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Sara Daneri, Aldo Pratelli. 2011-10-28. Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms. https://arxiv.org/abs/1106.1192

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