7 papers
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…
An analogue of Koebe's theorem in metric spaces
Evgeny Sevost'yanov, Valery Targonskii, Denys Romash +1
This paper is devoted to the study of mappings in metric spaces. We investigate mappings satisfying inverse moduli inequalities. We show that under certain conditions on these mapp…
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 lower distance estimates of mappings in metric spaces
Evgeny Sevost'yanov, Denys Romash, Nataliya Ilkevych
We consider mappings satisfying an upper bound for the distortion of families of curves. We establish lower bounds for the distortion of distances under such mappings. As applicati…
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…