On quasilinear Beltrami equations with restrictions on tangential dilatation

Abstract

We study quasilinear Beltrami equations, the complex coefficients of which depend on the unknown function. In terms of the so-called tangential dilatation, we have found conditions under which these equations have homeomorphic $ACL$-solutions. Sepa\-ra\-tely, we have found some conditions that ensure the existence of the corresponding con\-ti\-nuous $ACL$-solutions.