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 H\"{o}lder in a given domain.