Results 1 to 10 of about 8,574 (90)
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 +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 +2 more
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On the openness and discreteness of mappings with unbounded characteristic of quasiconformality [PDF]
, 2012 The paper is devoted to the investigation of topological properties of space mappings. It is shown that orientation- preserving mappings f WD ! Rn in a domain D Rn; n 2; which are more general than mappings with bounded distortion, are open and ...
Sevost’yanov, Е. А.
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On the convergence of spatial homeomorphisms [PDF]
Математичні Студії, 2013 Various theorems on the convergence of general spatial homeomorphisms are proved and, on this basis, convergence theorems for classes of the so-called ring Q--homeomorphisms are obtained. These results will have wide applications to Sobolev's mappings.
V. I. Ryazanov, E. A. Sevost'yanov
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Quasiregular mappings of polynomial type in R^2 [PDF]
, 2010 Complex dynamics deals with the iteration of holomorphic functions. As is well- known, the first functions to be studied which gave non-trivial dynamics were quadratic polynomials, which produced beautiful computer generated pictures of Julia sets and ...
Fletcher, Alastair, Goodman, Dan
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Математичні СтудіїThis 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 +3 more
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Planar mappings of subexponentially integrable distortion -- integrability of distortion of inverses
, 2016 We establish the optimal regularity for the distortion of inverses of mappings of finite distortion with logarithm-iterated style subexponentially integrable distortion, which generalizes the Theorem 1. of [J. Gill, Ann. Acad. Sci. Fenn. Math. 35 (2010),
Xu, Haiqing
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On distortion under mappings satisfying the inverse Poletsky inequality
Математичні СтудіїAs 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 +3 more
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