4 citations · 4 across the 7 of their papers we have counts for
8 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 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 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…