Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 3, pp. 567-589.

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},
     pages = {567--589},
     publisher = {Elsevier},
     volume = {31},
     number = {3},
     year = {2014},
     doi = {10.1016/j.anihpc.2013.04.007},
     mrnumber = {3208455},
     zbl = {1348.37071},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2013.04.007/}
}
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Daneri, Sara; Pratelli, Aldo. Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms. Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 3, pp. 567-589. doi : 10.1016/j.anihpc.2013.04.007. http://www.numdam.org/articles/10.1016/j.anihpc.2013.04.007/

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