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math.CV2025
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…
math.CV2025
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…
math.CV2025
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…