9 papers
An analogue of Koebe's theorem in metric spaces
Evgeny Sevost'yanov, Valery Targonskii, Denys Romash +1
This paper is devoted to the study of mappings in metric spaces. We investigate mappings satisfying inverse moduli inequalities. We show that under certain conditions on these mapp…
On Koebe's theorem for mappings with integral constraints
Evgeny Sevost'yanov, Valery Targonskii, Nataliya Ilkevych
We study mappings that satisfy the inverse modulus inequality of Poletsky type with respect to -modulus. Given we show that, the image of some ball contains…
On convergence of homeomorphisms with inverse modulus inequality
Evgeny Sevost'yanov, Valery Targonskii
We have studied homeomorphisms that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform limit of the family of such hom…
An analogue of Koebe's theorem and the openness of a limit map in one class
Evgeny Sevost'yanov, Valery Targonskii
We study mappings that satisfy the inverse modulus inequality of Poletsky type in a fixed domain. It is shown that, under some additional restrictions, the image of a ball under su…
On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping
E. O. Sevost'yanov, V. A. Targonskii
We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such ma…
On quasilinear Beltrami equations with restrictions on tangential dilatation
E. O. Sevost'yanov, V. A. Targonskii, N. S. Ilkevych
We study quasilinear Beltrami equations, the complex coefficients of which depend on the unknown function. In terms of the so-called tangential dilatation, we have found conditions…
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…
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…
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…