Geodesic
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 6, pp. 1543-1559
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We provide Schauder estimates for nonlinear Beltrami equations and lower bounds of the Jacobians for homeomorphic solutions. The results were announced in [1] but here we give detailed proofs.

DOI : 10.1016/j.anihpc.2016.10.008
Classification : 30C62, 35J60, 35J46, 35B65
Keywords: Quasiconformal mappings, Nonlinear Beltrami equation, Schauder estimates, Non-vanishing of the Jacobian 
@article{AIHPC_2017__34_6_1543_0,
     author = {Astala, Kari and Clop, Albert and Faraco, Daniel and J\"a\"askel\"ainen, Jarmo and Koski, Aleksis},
     title = {Nonlinear {Beltrami} operators, {Schauder} estimates and bounds for the {Jacobian}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1543--1559},
     year = {2017},
     publisher = {Elsevier},
     volume = {34},
     number = {6},
     doi = {10.1016/j.anihpc.2016.10.008},
     zbl = {1375.30024},
     mrnumber = {3712010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.10.008/}
}
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%0 Journal Article
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%A Clop, Albert
%A Faraco, Daniel
%A Jääskeläinen, Jarmo
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%T Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
%J Annales de l'I.H.P. Analyse non linéaire
%D 2017
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%N 6
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%F AIHPC_2017__34_6_1543_0
Astala, Kari; Clop, Albert; Faraco, Daniel; Jääskeläinen, Jarmo; Koski, Aleksis. Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 6, pp. 1543-1559. doi: 10.1016/j.anihpc.2016.10.008

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