Diffeomorphic approximation of Sobolev homeomorphisms

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.

21 pages, 5 figures

References in corpus (1)

• Hopf differentials and smoothing Sobolev homeomorphisms

Cited by in corpus (10)

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• Characterization of gradient Young measures generated by homeomorphisms in the plane
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• Differentiable approximation of continuous semialgebraic maps
• Monotone Sobolev functions in planar domains: level sets and smooth approximation
• Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies