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Diffeomorphic approximation of Sobolev homeomorphisms (1009.0286v1)

Published 1 Sep 2010 in math.AP and math.CV

Abstract: Every homeomorphism h : X -> Y between planar open sets that belongs to the Sobolev class W{1,p}(X,Y), 1<p<\infty, can be approximated in the Sobolev norm by diffeomorphisms.

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