The Beltrami equations and lower Q-homeomorphisms

• Published in: Труды Института прикладной математики и механики
• 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
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/123958
• 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.

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...