On the existence of solutions of quasilinear Beltrami equations with two characteristics

Abstract

We study Beltrami-type equations with two given complex characteristics. Under certain conditions on the complex coefficients, we obtained theorems on the existence of homeomorphic $ACL$ -solutions of this equation. In addition, for some relatively weak conditions, we obtained theorems on the existence of the corresponding continuous $ACL$ -solutions that are loga -rith\-mi\-cally Hölder in a given domain.

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