24 citations · 33 across the 33 of their papers we have counts for
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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 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 nonhomeomorphic mappings between Riemannian manifolds
Evgeny Sevost'yanov
We consider mappings of domains of Riemannian manifolds that admit branch points and satisfy a certain condition regarding the distortion of the modulus of families of paths. We ha…
On global behavior of mappings with integral constraints
Evgeny Sevost'yanov
This article is devoted to the study of mappings with branch points whose characteristics satisfy integral-type constraints. We have proved theorems concerning their local and glob…