6 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…