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20102026
most citedOn mappings in the Orlicz-Sobolev classes

24 citations · 59 across the 74 of their papers we have counts for

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math.CV2026

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…

math.CV2026

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…

math.CV2026

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…

math.CV2026

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…

math.CV2025

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…

math.CV2025

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…