Diffeomorphic approximation of planar Sobolev homeomorphisms

  • Stanislav Hencl

    Charles University, Prague, Czechia
  • Aldo Pratelli

    Universität Erlangen-Nürnberg, Erlangen, Germany
Diffeomorphic approximation of $W^{1,1}$ planar Sobolev homeomorphisms cover
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Abstract

Let be a domain and let be a homeomorphism (between and ). Then there exists a sequence of smooth diffeomorphisms converging to in and uniformly.

Cite this article

Stanislav Hencl, Aldo Pratelli, Diffeomorphic approximation of planar Sobolev homeomorphisms. J. Eur. Math. Soc. 20 (2018), no. 3, pp. 597–656

DOI 10.4171/JEMS/774