Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
Annales de l'I.H.P. Analyse non linéaire, Volume 31 (2014) no. 3, p. 567-589
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We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the ${W}^{1,p}$ norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.
@article{AIHPC_2014__31_3_567_0,
author = {Daneri, Sara and Pratelli, Aldo},
title = {Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {31},
number = {3},
year = {2014},
pages = {567-589},
doi = {10.1016/j.anihpc.2013.04.007},
zbl = {1348.37071},
mrnumber = {3208455},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2014__31_3_567_0}
}

Daneri, Sara; Pratelli, Aldo. Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms. Annales de l'I.H.P. Analyse non linéaire, Volume 31 (2014) no. 3, pp. 567-589. doi : 10.1016/j.anihpc.2013.04.007. http://www.numdam.org/item/AIHPC_2014__31_3_567_0/

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