The Beltrami equations and lower Q-homeomorphisms

In this article it is shown that each homeomorphic W1,1loc solution to the Beltrami equation ∂f = μ∂f is the so-called lower Q-homeomorphism with Q(z) = Kμ(z) where Kμ(z) is dilatation quotient of this equation. It is developed on this base the theory of the boundary behavior and the removability of...

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Bibliographic Details
Date:2010
Main Authors: Kovtonyuk, D.A., Petkov, I.V., Ryazanov, V.I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
Series:Труды Института прикладной математики и механики
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/123958
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Beltrami equations and lower Q-homeomorphisms / D.A. Kovtonyuk, I.V. Petkov, V.I. Ryazanov // Труды Института прикладной математики и механики НАН Украины. — Донецьк: ІПММ НАН України, 2010. — Т. 21. — С. 114-117. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine