5 papers
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 Caratheodory prime ends extension for unclosed Orlicz-Sobolev classes
Zarina Kovba, Evgeny Sevost'yanov
We study problems related to continuous boundary extension of mappings of Orlicz-Sobolev classes in terms of prime ends. The results we obtain concern the case when the mappings ar…
On Caratheodory theorem for open discrete unclosed mappings
Zarina Kovba, Evgeny Sevost'yanov
We study mappings satisfying the inverse Poletsky-type inequality in a domain of the Euclidean space. Such inequalities are well known and play an important role in the study of qu…
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 the lower bounds of -modulus of families of paths and a finite connectedness
Evgeny Sevost'yanov, Zarina Kovba, Heorhii Nosal +1
We study the problem of the lower bounds of the modulus of families of paths of order and their connection with the geometry of domains containing the specified famil…