Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Dovhopiatyi, O. P."'
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 have obtained an estimate of the distance distortion for such mappings p
Externí odkaz:
http://arxiv.org/abs/2305.11028
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 locally quasiconformal boundary, and domains which are regular in the sense
Externí odkaz:
http://arxiv.org/abs/2302.07377
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 specified class form equicontinuous families under some conditions on thei
Externí odkaz:
http://arxiv.org/abs/2212.07883
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 $ ACL $ -solutions of this equation. In addition, for some relatively
Externí odkaz:
http://arxiv.org/abs/2110.08736
Autor:
Dovhopiatyi, O., Sevost'yanov, E.
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 of prime ends, we have proved results of a detailed form for the case
Externí odkaz:
http://arxiv.org/abs/2105.09373
We have proved theorems on compact classes of homeomorphisms with hydrodynamic normalization that are solutions of the Beltrami equation, whose characteristics are compactly supported and satisfy certain constraints of the theoretical-set type. As a
Externí odkaz:
http://arxiv.org/abs/2011.04768
We have proved theorems on compact classes of homeomorphisms with hydrodynamic normalization that are solutions of the Beltrami equation, whose characteristics are compactly supported and satisfy certain constraints of an integral type. As a conseque
Externí odkaz:
http://arxiv.org/abs/2009.12705
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 conditions under which the families of the indicated mappings are equicontinuou
Externí odkaz:
http://arxiv.org/abs/1904.01513
Akademický článek
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Autor:
Dovhopiatyi, O. P.1 (AUTHOR), Sevost'yanov, E. A.1,2 (AUTHOR) esevostyanov2009@gmail.com
Publikováno v:
Ukrainian Mathematical Journal. Dec2022, Vol. 74 Issue 7, p1099-1112. 14p.
