Výsledky vyhledávání - "Ilkevych, N. S."

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On quasilinear Beltrami equations with restrictions on tangential dilatation

Autor: Sevost'yanov, E. O., Targonskii, V. A., Ilkevych, N. S.

We study quasilinear Beltrami equations, the complex coefficients of which depend on the unknown function. In terms of the so-called tangential dilatation, we have found conditions under which these equations have homeomorphic $ACL$-solutions. Sepa\-

Externí odkaz: http://arxiv.org/abs/2402.15084

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On behavior of one class of mappings acting onto domains with a locally quasiconformal boundary

Autor: Androschuk, M. V., Dovhopiatyi, O. P., Ilkevych, N. S., Sevost'yanov, E. A.

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

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Equicontinuity by the prime ends of mappings with the normalization condition

Autor: Sevost'yanov, E. A., Ilkevych, N. S.

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 connected on its boundary, the mapped domain is regular, and the majorant res

Externí odkaz: http://arxiv.org/abs/2004.04801

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On behavior of a class of mappings in terms of prime ends

Autor: Sevost'yanov, E. A., Skvortsov, S. A., Ilkevych, N. S.

The paper is devoted to the study of mappings with finite distortion, actively studied recently. For mappings whose inverse satisfy the Poletsky inequality, the results on boundary behavior in terms of prime ends are obtained. In particular, it was p

Externí odkaz: http://arxiv.org/abs/1801.04431

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