arXiv subjects

E. O. Sevost'yanov

Publications and source records attributed to E. O. Sevost'yanov.

2 recordsLinked to original sources

arXiv2024

On quasilinear Beltrami equations with restrictions on tangential dilatation

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.

math.CV↗

arXiv2024

On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping

We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that are locally connected at their boundary and regular domains in the quasiconformal sense.

math.CV↗