JournalsaihpcVol. 34, No. 6pp. 1543–1559

Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian

  • Jarmo Jääskeläinen

    Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014, Helsinki, Finland, Department of Mathematics, Universidad Autónoma de Madrid, 28049 Madrid, Spain

  • Aleksis Koski

    Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014, Helsinki, Finland

  • Kari Astala

    Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014, Helsinki, Finland, LE STUDIUM, Loire Valley Institute for Advanced Studies, Orléans & Tours, France, MAPMO, rue de Chartres, 45100 Orléans, France

  • Albert Clop

    Department of Mathematics, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Catalonia, Spain

  • Daniel Faraco

    Department of Mathematics, Universidad Autónoma de Madrid, 28049 Madrid, Spain, ICMAT CSIC-UAM-UCM-UC3M, 28049 Madrid, Spain
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian cover
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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.

Cite this article

Jarmo Jääskeläinen, Aleksis Koski, Kari Astala, Albert Clop, Daniel Faraco, Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 6, pp. 1543–1559

DOI 10.1016/J.ANIHPC.2016.10.008