4 citations · 4 across the 14 of their papers we have counts for
14 papers
On boundary non-preserving mappings with integral constraints
Victoria Desyatka, Oleksandr Dovhopiatyi, Evgeny Sevost'yanov
This manuscript is devoted to the study of mappings, satisfying the upper weighted Poletsky inequality. We study the case where the boundary of the domain may not be preserved unde…
On distortion estimates of mappings with the Poletsky condition in domains with Poincare inequality
O. P. Dovhopiatyi, E. A. Sevost'yanov
The article is devoted to the study of mappings that distort the modulus of families of paths according to the Poletsky inequality type. At the boundary points of the domain, we ha…
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 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…
On mappings with hydrodynamical normalization conditions in Euclidean space
O. P. Dovhopiatyi, E. A. Sevost'yanov
We are studying spatial mappings that satisfy some space analog of a hydrodynamical type of growth in the neighborhood of the infinity. It is proved that homeomorphisms of the spec…
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…
On the existence of solutions of quasilinear Beltrami equations with two characteristics
O. P. Dovhopiatyi, E. A. Sevost'yanov
We study Beltrami-type equations with two given complex characteristics. Under certain conditions on the complex coefficients, we obtained theorems on the existence of homeomorphic…
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 compact classes of solutions of Dirichlet problem in simply connected domains
O. Dovhopiatyi, E. Sevost'yanov
The article is devoted to questions concerning the problems of compactness of solutions of the Dirichlet problem for the Beltrami equation in some simply connected domain. In terms…
On compactness of classes of solutions of the Dirichlet problem with restrictions of the theoretics-set type
O. P. Dovhopiatyi, E. A. Sevost'yanov
We have proved theorems on compact classes of homeomorphisms with hydrodynamic normalization that are solutions of the Beltrami equation, whose characteristics are compactly suppor…
On compact classes of solutions of the Dirichlet problem with integral restrictions
E. A. Sevost'yanov, O. P. Dovhopiatyi
We have proved theorems on compact classes of homeomorphisms with hydrodynamic normalization that are solutions of the Beltrami equation, whose characteristics are compactly suppor…
On mappings satisfying the inverse Poletsky inequality
E. A. Sevost'yanov, S. O. Skvortsov, O. P. Dovhopiatyi
We have studied the local and boundary behavior of mappings satisfying one estimate of the distortion of the modulus of families of paths. In particular, we have obtained condition…
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…