English

Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian

Complex Variables 2022-10-07 v3 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.1511.08370,
  title  = {Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian},
  author = {Kari Astala and Albert Clop and Daniel Faraco and Jarmo Jääskeläinen and Aleksis Koski},
  journal= {arXiv preprint arXiv:1511.08370},
  year   = {2022}
}

Comments

19 pages, preprint