This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their …
On recent advances in the Beltrami equations Page 1 Journal of Mathematical Sciences, Vol. 175, No. 4, June, 2011 On recent advances in the Beltrami equations Vladimir Gutlyanskiı …
EO Sevost'yanov, SO Skvortsov… - Journal of Mathematical …, 2021 - Springer
The article investigates the local and boundary behavior of mappings with branching that satisfy the inverse inequality of the Poletsky type. It is proved that mappings of this type are …
We first study the boundary behavior of ring Q-homeomorphisms in terms of Carathéodory's prime ends and then give criteria to the solvability of the Dirichlet problem for the degenerate …
ES Smolovaya - Ukrainian Mathematical Journal, 2010 - go.gale.com
We investigate the problem of extension of so-called ring Q-homeomorphisms between domains in metric spaces with measures to the boundary. We establish conditions for the …
V Ryazanov, U Srebro, E Yakubov - Complex Variables and Elliptic …, 2012 - Taylor & Francis
Full article: Integral conditions in the theory of the Beltrami equations Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …
A Golberg - Further progress in analysis, 2009 - World Scientific
Quasi-invariance of an n-module is a characteristic property of quasiconformal mappings. We give inequalities that generalize quasi-invariance. Topological mappings satisfying …
DA Kovtonyuk, VI Ryazanov - Ukrainian Mathematical Journal, 2015 - Springer
We present a canonical representation of prime ends in regular domains and, on this basis, study the boundary behavior of the so-called lower Q-homeomorphisms obtained as a …
DP Il'yutko, EA Sevost'yanov - Sbornik: Mathematics, 2016 - iopscience.iop.org
The paper is concerned with problems at the intersection of the theory of spatial quasi- conformal mappings and the theory of Riemann surfaces. Theorems on the local behaviour …