Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Kari Astala, Albert Clop, Daniel Faraco, Jarmo J\"a\"askel\"ainen and, Aleksis Koski
TL;DR
This paper establishes Schauder estimates for nonlinear Beltrami equations and provides lower bounds for the Jacobians of homeomorphic solutions, offering detailed proofs of previously announced results.
Contribution
It delivers detailed proofs for Schauder estimates and Jacobian bounds in nonlinear Beltrami equations, expanding on prior announcements.
Findings
Schauder estimates for nonlinear Beltrami equations
Lower bounds for Jacobians of homeomorphic solutions
Detailed proofs of previously announced results
Abstract
We provide Schauder estimates for nonlinear Beltrami equations and lower bounds of the Jacobians for homeomorphic solutions. The results were announced in arXiv:1412.4046 but here we give detailed proofs.
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