[图书][B] Moduli in modern mapping theory

O Martio, V Ryazanov, U Srebro, E Yakubov - 2008 - books.google.com
Page 1 OLLI MARTIO VLADIMIR RYAZANOV URI SREBRO EDUARD YAKUBOV Moduli in
Modern Mapping Theory Springer Springer Monographs in Mathematics Page 2 Springer …

[图书][B] The Beltrami equation: a geometric approach

V Gutlyanskii, V Ryazanov, U Srebro, E Yakubov - 2012 - books.google.com
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

V Gutlyanskiĭ, V Ryazanov, U Srebro… - Journal of Mathematical …, 2011 - Springer
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 …

The Beltrami equations and prime ends

V Gutlyanskii, V Ryazanov, E Yakubov - Journal of Mathematical Sciences, 2015 - Springer
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 …

[图书][B] Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane

B Bojarski, V Gutlyanskii, O Martio, V Ryazanov - 2013 - ems.press
This book is intended for researchers interested in new aspects of local behavior of plane
mappings and their applications. The presentation is self-contained, but the reader is …

On ring solutions of Beltrami equations

V Ryazanov, U Srebro, E Yakubov - Journal d'Analyse Mathématique, 2005 - Springer
Ring homeomorphisms are studied and then applied to an extension of the known Lehto
existence theorem for degenerate Beltrami equations. On the basis of this extension, we …

Regularity of the inverse of a planar Sobolev homeomorphism

S Hencl, P Koskela - Archive for rational mechanics and analysis, 2006 - Springer
Let be a domain. Suppose that f∈ W 1, 1 loc (Ω, R 2) is a homeomorphism such that Df (x)
vanishes almost everywhere in the zero set of J f. We show that f-1∈ W 1, 1 loc (f (Ω), R 2) …

[图书][B] Inequalities Fordifferential Forms

RP Agarwal, S Ding, C Nolder - 2009 - Springer
Differential forms have been widely studied and used in many fields, such as physics,
general relativity, theory of elasticity, quasiconformal analysis, electromagnetism, and …

Integral conditions in the theory of the Beltrami equations

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
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On lipschitz continuity of quasiconformalmappings in space

VY Gutlyanskiĭ, A Golberg - Journal d'Analyse Mathématique, 2009 - Springer
Sufficient conditions for a spatial quasiconformal mapping f to be Lipschitz or weak Lipschitz
continuous at a prescribed point are given. The proofs of these results are based on new …