Zobrazeno 1 - 10
of 294
pro vyhledávání: '"SEVOST’YANOV, E. A."'
Autor:
Sevost'yanov, E. O., Targonskii, V. A.
We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that ar
Externí odkaz:
http://arxiv.org/abs/2404.17060
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
Autor:
Desyatka, V. S., Sevost'yanov, E. A.
We consider open discrete mappings of Riemannian manifolds that satisfy some modulus inequality. We investigate the possibility of a continuous extension of such mappings to an isolated point on the boundary. It is proved that, these mappings have a
Externí odkaz:
http://arxiv.org/abs/2309.15222
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
Autor:
Sevost'yanov, E. A.
We study some problems related to the boundary behavior of maps of domains of Riemannian surfaces. In particular, for mappings satisfying the inverse Poletsky type modulus inequality, we establish the possibility of their continuous extension to the
Externí odkaz:
http://arxiv.org/abs/2303.01972
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
Autor:
Sevost'yanov, E., Targonskii, V.
This article is devoted to the study of mappings defined in the region on the plane. Under certain conditions, the upper estimate of the distortion of the modulus of families of paths is obtained. Similarly, the upper estimate of the modulus of the f
Externí odkaz:
http://arxiv.org/abs/2207.10189
The article is devoted to mappings with bounded and finite distortion of plane domains. Our investigations are devoted to the connection between mappings of the Sobolev class and upper bounds for the distortion of the modulus of families of paths. Fo
Externí odkaz:
http://arxiv.org/abs/2204.07870
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