We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the 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},
volume = {31},
year = {2014},
pages = {567-589},
doi = {10.1016/j.anihpc.2013.04.007},
mrnumber = {3208455},
zbl = {1348.37071},
language = {en},
url = {http://dml.mathdoc.fr/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, Tome 31 (2014) pp. 567-589. doi : 10.1016/j.anihpc.2013.04.007. http://gdmltest.u-ga.fr/item/AIHPC_2014__31_3_567_0/
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