4 papers
On boundary non-preserving mappings with integral constraints
Victoria Desyatka, Oleksandr Dovhopiatyi, Evgeny Sevost'yanov
This manuscript is devoted to the study of mappings, satisfying the upper weighted Poletsky inequality. We study the case where the boundary of the domain may not be preserved unde…
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 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 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…