1 citations · 1 across the 6 of their papers we have counts for
6 papers
Sobolev mappings and moduli inequalities on Carnot groups
Evgenii Sevost'yanov, Alexander Ukhlov
In the article we study mappings of Carnot groups satisfy moduli inequalities. We prove that homeomorphisms satisfy the moduli inequalities (-homeomor\-phisms) with a locally in…
On boundary behavior of mappings on Riemannian manifolds in terms of prime ends
D. P. Ilyutko, E. A. Sevost'yanov
A boundary behavior of ring mappings on Riemannian manifolds, which are generalization of quasiconformal mappings by Gehring, is investigated. In terms of prime ends, there are obt…
On Sokhotski--Casorati--Weierstrass theorem on metric spaces
E. A. Sevost'yanov, A. A. Markysh
In a neighborhood of isolated point of a domain of a metric space, a behavior of generalized quasiconformal mappings is studied. It is proved that, mappings mentioned above have co…
On equicontinuity of Sobolev classes in domains with locally connected boundary
E. A. Petrov, E. A. Sevost'yanov
A behavior of homeomorphisms of Orlicz classes in a closure of a domain is investigated. It is proved that above classes are equicontinuous in the closure of domains with some rest…
On boundary behavior of open discrete mappings on Riemannian manifolds
D. P. Ilyutko, E. A. Sevost'yanov
For some class of mappings, there are investigated problems connected with a possibility of continuous extension to a boundary on Riemannian manifolds. In particular, for so-called…
On local properties of one class of mappings on Riemannian manifolds
D. P. Ilyutko, E. A. Sevost'yanov
The present paper is devoted to questions located at the junction of the theory of space quasiconformal mappings and Riemannian surfaces. Theorems on local behavior of one class of…