5 papers
On the global behavior of mappings and the correspondence of boundaries
N. Ilkevych, D. Romash, E. Sevost'yanov
We consider families of mappings with moduli inequalities, having different definition domains. Under some additional assumptions we have proved that such families are uniformly eq…
On Montel theorem for mappings with inverse moduli inequalities
Miodrag Mateljevic, Evgeny Sevost'yanov
This paper is devoted to the study of mappings with finite distortion, in particular, mappings satisfying the inverse Poletskii inequality. We study the problem of equicontinuity o…
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 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 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…