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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…