Results 1 to 10 of about 8,114 (184)

Walls and asymptotics for Bridgeland stability conditions on 3-folds [PDF]

Épijournal de Géométrie Algébrique, 2022
We consider Bridgeland stability conditions for three-folds conjectured by Bayer-Macr\`i-Toda in the case of Picard rank one. We study the differential geometry of numerical walls, characterizing when they are bounded, discussing possible intersections ...
Marcos Jardim, Antony Maciocia
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On modulus inequality of the order $p$ for the inner dilatation

Математичні Студії, 2023
The article is devoted to mappings with bounded and finite distortion of planar 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.
R. R. Salimov, E. O. Sevost'yanov, V. A. Targonskii   +2 more
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Isolated singularities of mappings with the inverse Poletsky inequality

Математичні Студії, 2021
The manuscript is devoted to the study of mappings with finite distortion, which have been actively studied recently. We consider mappings satisfying the inverse Poletsky inequality, which can have branch points.
E.A. Sevost'yanov
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On compact classes of solutions of Dirichlet problem in simply connected domains

Математичні Студії, 2023
The article is devoted to compactness of solutions of the Dirichlet problem for the Beltrami equation in some simply connected domain. In terms of prime ends, we have proved corresponding results for the case when the maximal dilatations of these ...
O. Dovhopiatyi, E. Sevost'yanov
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On boundary extension of one class of mappings in terms of prime ends

Математичні Студії, 2020
Here we consider the classes of mappings of metric spaces that distort the modulus of families of paths similarly to Poletsky inequality. For domains, which are not locally connected at the boundaries, we obtain results on the boundary extension of the ...
E.A. Sevost'yanov, S. A. Skvortsov, I.A. Sverchevska   +2 more
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On prime end distortion estimates of mappings with the Poletsky condition in domains with the Poincar´e inequality

Математичні Студії
This article is devoted to the study of mappings with bounded and finite distortion defined in some domain of the Euclidean space. We consider mappings that satisfy some upper estimates for the distortion of the modulus of families of paths, where the ...
O. P. Dovhopiatyi, N. S. Ilkevych, E. O. Sevost'yanov, A. L. Targonskii   +3 more
doaj   +1 more source

QUASI-ISOMETRIC MAPPINGS AND THE p-MODULI OF PATH FAMILIES

Issues of Analysis, 2016
In this article, we study a connection between quasiisometric mappings of n-dimensional domains and the p-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the p-moduli of path families under K-quasi-isometric mappings.
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On distortion under mappings satisfying the inverse Poletsky inequality

Математичні Студії
As it is known, conformal mappings are locally Lipschitz at inner points of a domain, and quasiconformal (quasiregular) mappings are locally H ̈older continuous.
E. O. Sevost'yanov, R. R. Salimov, V. S. Desyatka, N. S. Ilkevych   +3 more
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Unique Determination of Polyhedral Domains in $\mathbb R^n$ ($n \ge 4$) and $p$-Moduli of Path Families

, 2014
This paper is an extension of the author's lecture "Unique Determination of Polyhedral Domains and $p$-Moduli of Path Families" given at the International Conference "Metric Geometry of Surfaces and Polyhedra" dedicated to the 100th anniversary of Prof.
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Erratum to: “Uniqueness of Polyhedral Domains and p-Moduli of Path Families” [PDF]

Doklady Mathematics, 2011
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