- journal article metadata
European Mathematical Society Publishing House
2018-03-11 23:30:00
Journal of the European Mathematical Society
J. Eur. Math. Soc.
JEMS
1435-9855
1435-9863
General
10.4171/JEMS
http://www.ems-ph.org/doi/10.4171/JEMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
20
2018
3
Diffeomorphic approximation of $W^{1,1}$ planar Sobolev homeomorphisms
Stanislav
Hencl
Charles University, Prague, Czechia
Aldo
Pratelli
Universität Erlangen-Nürnberg, Erlangen, Germany
Mapping of finite distortion, approximation
Let $\Omega\subseteq\mathbb R^2$ be a domain and let $f\in W^{1,1}(\Omega,\mathbb R^2)$ be a homeomorphism (between $\Omega$ and $f(\Omega)$). Then there exists a sequence of smooth diffeomorphisms $f_k$ converging to $f$ in $W^{1,1}(\Omega,\mathbb R^2)$ and uniformly.
Functional analysis
597
656
10.4171/JEMS/774
http://www.ems-ph.org/doi/10.4171/JEMS/774
2
9
2018