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Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

TitleSmooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
Publication TypeJournal Article
Year of Publication2014
AuthorsDaneri, S, Pratelli, A
JournalAnnales de l'Institut Henri Poincare (C) Non Linear Analysis
Volume31
Pagination567 - 589
ISSN0294-1449
Abstract

We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W1,p norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.

URLhttp://www.sciencedirect.com/science/article/pii/S0294144913000711
DOI10.1016/j.anihpc.2013.04.007

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