10 papers
On the global behavior of mappings and the correspondence of boundaries
N. Ilkevych, D. Romash, E. Sevost'yanov
We consider families of mappings with moduli inequalities, having different definition domains. Under some additional assumptions we have proved that such families are uniformly eq…
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 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 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 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 behavior of one class of mappings acting onto domains with a locally quasiconformal boundary
M. V. Androschuk, O. P. Dovhopiatyi, N. S. Ilkevych +1
The article is devoted to the study of mappings that satisfy the so-called inverse Poletsky inequality. We consider mappings of quasiextremal distance domains, domains with a local…
Equicontinuity by the prime ends of mappings with the normalization condition
E. A. Sevost'yanov, N. S. Ilkevych
We study branching mappings that satisfy some condition of distortion of the modulus of families of paths. In a situation where the definition domain of mappings is locally connect…
On boundary extension of mappings of Riemannian surfaces in terms of prime ends
Evgeny Sevost'yanov, Oleksandr Dovhopiatyi, Nataliya Ilkevych +1
We investigate non-homeomorphic mappings of Riemannian surfaces of Sobolev class. We have obtained some estimates of distortion of moduli of families of curves. We have proved that…
On behavior of a class of mappings in terms of prime ends
E. A. Sevost'yanov, S. A. Skvortsov, N. S. Ilkevych
The paper is devoted to the study of mappings with finite distortion, actively studied recently. For mappings whose inverse satisfy the Poletsky inequality, the results on boundary…