Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian

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http://hdl.handle.net/10138/313039

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Astala , K , Clop , A , Faraco , D , Jääskeläinen , J & Koski , A 2017 , ' Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian ' , Annales de l'Institut Henri Poincaré. Analyse non linéaire , vol. 34 , no. 6 , pp. 1543-1559 . https://doi.org/10.1016/j.anihpc.2016.10.008

Title: Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Author: Astala, Kari; Clop, Albert; Faraco, Daniel; Jääskeläinen, Jarmo; Koski, Aleksis
Contributor: University of Helsinki, Department of Mathematics and Statistics
University of Helsinki, Universitat Autònoma de Barcelona (UAB)
University of Helsinki, Univ Autonoma Madrid, Autonomous University of Madrid, Dept Math
University of Helsinki, Department of Mathematics and Statistics
University of Helsinki, Department of Mathematics and Statistics
Date: 2017
Language: eng
Number of pages: 17
Belongs to series: Annales de l'Institut Henri Poincaré. Analyse non linéaire
ISSN: 0294-1449
URI: http://hdl.handle.net/10138/313039
Abstract: 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. (C) 2016 Elsevier Masson SAS. All rights reserved.
Subject: Quasiconformal mappings
Nonlinear Beltrami equation
Schauder estimates
Non-vanishing of the Jacobian
QUASI-CONFORMAL MAPPINGS
DIFFERENTIAL-EQUATIONS
ELLIPTIC-EQUATIONS
TARTAR CONJECTURE
REGULAR-MAPPINGS
2 VARIABLES
111 Mathematics
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