Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

By Sara Daneri, Aldo Pratelli. 2011

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/de7dc9daee2df3d211de1e3acc169a5da29f4b4a