Showing 2018Show all
2 papers · 1 filter
math.CV2018
On boundary extension of mappings of Riemannian surfaces in terms of prime ends
Evgeny Sevost'yanov, Oleksandr Dovhopiatyi, Nataliya Ilkevych +1
We investigate non-homeomorphic mappings of Riemannian surfaces of Sobolev class. We have obtained some estimates of distortion of moduli of families of curves. We have proved that…
math.CV2018
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…