Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

Details Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

2011-06-06

arxiv.org/abs/1106.1192v2

Mathematics

Analysis of PDEs

28 pages, 4 figures

Scientific paper

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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