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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 Beltrami equations with the inverse conditions and hydrodynamic normalization
Evgeny Sevost'yanov, Oleksandr Dovhopiatyi
We consider problems concerning the existence of solutions of the Beltrami equations and their convergence in the entire complex plane. We are mainly interested in the case when th…