24 citations · 33 across the 32 of their papers we have counts for
5 papers · 1 filter
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…
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…
Boundary extension of mappings with the inverse Poletsky inequality by prime ends
E. A. Sevost'yanov
For mapping with branching points that satisfy the inverse inequality of Poletsky, we obtained the results of their continuous boundary extension in terms of prime ends. Under cert…
On logarithmic Holder continuity of mappings on the boundary
E. A. Sevost'yanov
We study mappings satisfying the so-called inverse Poletsky inequality. Under integrability of the corresponding majorant, it is proved that these mappings are logarithmic Hölder c…