1 citations · 1 across the 28 of their papers we have counts for
29 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 lower distance estimates of mappings in metric spaces
Evgeny Sevost'yanov, Denys Romash, Nataliya Ilkevych
We consider mappings satisfying an upper bound for the distortion of families of curves. We establish lower bounds for the distortion of distances under such mappings. As applicati…
On the prime ends extension of unclosed inverse mappings
Evgeny Sevost'yanov, Victoria Desyatka Zarina Kovba
We consider mappings that distort the modulus of families of paths in the opposite direction in the manner of Poletsky's inequality. Here we study the case when the mappings are no…
On the lower bounds of -modulus of families of paths and a finite connectedness
Evgeny Sevost'yanov, Zarina Kovba, Heorhii Nosal +1
We study the problem of the lower bounds of the modulus of families of paths of order and their connection with the geometry of domains containing the specified famil…
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 the theory of generalized quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
We study generalized quasiconformal mappings in the context of the inverse Poletsky inequality. We consider the local behavior and the boundary behavior of mappings with the invers…
On boundary Hölder logarithmic continuity of mappings in some domains
Oleksandr Dovhopiatyi, Evgeny Sevost'yanov
We study mappings satisfying some estimate of distortion of modulus of families of paths. Under some conditions on definition and mapped domains, we have proved that these mappings…
On mappings with the inverse Poletsky inequality on Riemannian surfaces
E. A. Sevost'yanov
We study some problems related to the boundary behavior of maps of domains of Riemannian surfaces. In particular, for mappings satisfying the inverse Poletsky type modulus inequali…
On the boundary behavior of weak -quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
Let and be domains in the Euclidean space . We study the boundary behavior of weak -quasiconformal mappings, , $n-1<q\leq…
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 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…
Composition operators on Sobolev spaces and weighted moduli inequalities
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
In this paper we study connections between composition operators on Sobolev spaces and mappings defined by -moduli inequalities (-capacity inequalities). We prove that weight…
On compactness of one class of solutions of the Dirichlet problem
Oleksandr Dovhopiatyi, Evgeny Sevost'yanov
We consider the Dirichlet problem for the Beltrami equation in some simply connected domain. We consider the class of all homeomorphic solutions of such a problem with a normalizat…
On the inverse -inequality for one class of mappings
Oleksandr Dovhopiatyi, Evgeny Sevost'yanov
We study mappings differentiable almost everywhere, possessing the -Luzin property, the -property on the spheres with respect to the -dimensional Hausdorff mea…
On the inverse Poletskii inequality in metric spaces and prime ends
Evgeny Sevost'yanov
We study mappings defined in the domain of a metric space that distort the modulus of families of paths by the type of the inverse Poletskii inequality. Under certain conditions, i…
Mappings with the inverse Poletsky inequality are discrete on the boundary
Evgeny Sevost'yanov
It is established a continuous boundary extension of some class of mappings. Under some additional conditions, we have established that this extension is light in the closure of th…
Isolated singularities of mappings with the inverse Poletski inequality
Evgeny Sevost'yanov
We study open-closed discrete mappings that satisfy the weighted estimate of the distortion of modulus of families of paths. It is proved that the mappings mentioned above have a c…
On the local and boundary behavior of mappings on factor-spaces
Evgeny Sevost'yanov
In this article, we study mappings acting between domains of two factor spaces by certain groups of Möbius automorphisms of the unit ball that act discontinuously and do not have f…
On the existence of a solution of the Beltrami equation with degeneration
Evgeny Sevost'yanov
We have found one of the possible conditions under which the Beltrami equation with degeneration of ellipticity has a continuous solution of the Sobolev class. With some additional…
On Poletsky type inequality for mappings of Riemannian surfaces
E. Sevost'yanov
In this paper, we obtain upper estimates for the distortion of the modulus of families of paths under mappings of the Sobolev class, whose dilatation is locally integrable. As a co…