3 papers
math.AP2020
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…
math.CV2017
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…
math.CV2016
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…