24 citations · 33 across the 32 of their papers we have counts for
7 papers · 1 filter
On singularities of mappings with a finite length distortion
Victoria Desyatka, Evgeny Sevost'yanov
We study the possibility of a continuous extension of a class of mappings to an isolated point on the boundary of a domain. We show that if some characteristic of this mapping is i…
On Koebe's theorem for mappings with integral constraints
Evgeny Sevost'yanov, Valery Targonskii, Nataliya Ilkevych
We study mappings that satisfy the inverse modulus inequality of Poletsky type with respect to -modulus. Given we show that, the image of some ball contains…
On boundary Hölder continuity of Sobolev and Orlicz-Sobolev classes
Victoria Desyatka, Zarina Kovba, Evgeny Sevost'yanov
We investigate distortion estimates for mappings at boundary points of a domain. We consider mappings of the Sobolev and Orlicz-Sobolev classes and some other classes of mappings t…
On equicontinuity of mappings with inverse moduli inequalities by prime ends of variable domains
Zarina Kovba, Evgeny Sevost'yanov
The paper is devoted to the study of the boundary behavior of mappings. We consider mappings that satisfy inverse moduli inequalities of Poletskii type, under which the images of t…
On uniformly lightness of ring mappings and convergence to a homeomorphism
Denis Romash, Evgeny Sevost'yanov
A family of mappings is called uniformly light if the image of the continuum under these mappings cannot be contracted to a point under the sequence of mappings of the family. In t…
On boundary extension of unclosed Orlicz-Sobolev mappings
Victoria Desyatka, Alina Halyts'ka, Evgeny Sevost'yanov
This paper is devoted to the study of the boundary behavior of Orlicz-Sobolev classes that may not preserve the boundary under mapping. Under certain conditions, we show that these…