9 citations · 12 across the 5 of their papers we have counts for
5 papers
On behavior of a class of mappings in terms of prime ends
E. A. Sevost'yanov, S. A. Skvortsov, N. S. Ilkevych
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For mappings whose inverse satisfy the Poletsky inequality, the results on boundary…
On behavior of homeomorphisms with inverse modulus conditions
E. A. Sevost'yanov, S. A. Skvortsov
We consider some class of homeomorphisms of domains of Euclidean space, which are more general than quasiconformal mappings. For these homeomorphisms, we have obtained theorems on…
On equicontinuity of mappings in a case of variable domains
E. A. Sevost'yanov, S. A. Skvortsov
We study a local behavior of one class of mappings, which are defined in a domain of -measured Euclidean space, in a case, when corresponding images of this domain are variable.…
On convergence of mappings in metric spaces with direct and inverse modulus conditions
E. A. Sevost'yanov, S. A. Skvortsov
For mappings in metric spaces satisfying one inequality with respect to modulus of families of curves, there is proved a lightness of the uniform limit of these mappings. It is pro…
On equicontinuity of generalized quasiisometries on Riemannian manifolds
E. A. Sevost'yanov, S. A. Skvortsov
The present paper is devoted to the study of mappings with finite distortion on Riemannian manifolds. Theorems on local behavior of generalized quasiisometries with unbounded chara…