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20102025
most citedOn finitely Lipschitz space mappings

12 citations · 28 across the 27 of their papers we have counts for

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math.CV2024

On asymptotics of ring -homeomorphisms with respect to -modulus near the origin

Ruslan Salimov, Bogdan Klishchuk

We consider the class of ring -homeomorphisms with respect to -modulus in with , and obtain lower bounds for limsups of the distance distortions under…

math.CV2022

Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings

Miodrag Mateljević, Ruslan Salimov, Evgeny Sevost'Yanov

In this article, we consider the Hölder continuity of injective maps in Orlicz-Sobolev classes defined on the unit ball. Under certain conditions on the growth of dilatations, we o…

math.CV2022

On modulus inequality of the order for the inner dilatation

R. R. Salimov, E. A. Sevost'yanov, V. A. Targonskii

The article is devoted to mappings with bounded and finite distortion of plane domains. Our investigations are devoted to the connection between mappings of the Sobolev class and u…

math.CV2020

On the Asymptotic Behavior of Ring -homeomorphisms with Respect to -modulus

Ruslan Salimov, Bogdan Klishchuk

We study the behavior at infinity of ring -homeomorphisms with respect to -modulus for .

math.CV2019

On Hölder continuity of mappings in domains and on boundaries

V. Ryazanov, R. Salimov, E. Sevost'yanov

We study mappings with branching of a domain of Euclidean space. The Hölder and Lipschitz continuity are established for one class of spatial mappings whose characteristic satisfie…

math.CV2018

Asymptotic dilation of regular homeomorphisms

Anatoly Golberg, Ruslan Salimov, Maria Stefanchuk

We study the asymptotic behavior of the ratio as for mappings differentiable a.e. in the unit disc with non-degenerated Jacobian. The main tools involve the l…