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math.CV2022
On direct and inverse Poletsky inequality with a tangential dilatation on the plane
E. Sevost'yanov, V. Targonskii
This article is devoted to the study of mappings defined in the region on the plane. Under certain conditions, the upper estimate of the distortion of the modulus of families of pa…
math.CV2022
On the inverse Poletsky inequality with cotangent dilatation
Evgeny Sevost'yanov, Valery Targonskii
The article is devoted to establishing the distortion of the modulus of families of paths in wide classes of mappings that admit branch points. In particular, for mappings that are…
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…