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.
Mots-clés : 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}, publisher = {Elsevier}, volume = {34}, number = {6}, year = {2017}, doi = {10.1016/j.anihpc.2016.10.008}, zbl = {1375.30024}, mrnumber = {3712010}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2016.10.008/} }
TY - JOUR AU - Astala, Kari AU - Clop, Albert AU - Faraco, Daniel AU - Jääskeläinen, Jarmo AU - Koski, Aleksis TI - Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian JO - Annales de l'I.H.P. Analyse non linéaire PY - 2017 SP - 1543 EP - 1559 VL - 34 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2016.10.008/ DO - 10.1016/j.anihpc.2016.10.008 LA - en ID - AIHPC_2017__34_6_1543_0 ER -
%0 Journal Article %A Astala, Kari %A Clop, Albert %A Faraco, Daniel %A Jääskeläinen, Jarmo %A Koski, Aleksis %T Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian %J Annales de l'I.H.P. Analyse non linéaire %D 2017 %P 1543-1559 %V 34 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2016.10.008/ %R 10.1016/j.anihpc.2016.10.008 %G en %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, Volume 34 (2017) no. 6, pp. 1543-1559. doi : 10.1016/j.anihpc.2016.10.008. http://archive.numdam.org/articles/10.1016/j.anihpc.2016.10.008/
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