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Dirichlet problem for the general Beltrami equation in Jordan domains |
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| Authors: | Bogdan Bojarski Vladimir Gutlyanskiǐ Vladimir Ryazanov |
| Institution: | 1. Institute of Mathematics of the Polish Academy of Sciences, 8, Sniadeckich Str., P.O. Box 21, Warsaw, 00-956, Poland 2. Institute of Applied Mathematics and Mechanics, NASU, 74, R. Luxemburg Str., Donetsk, 83114, Ukraine |
| Abstract: | We study the Dirichlet problem for the general degenerate Beltrami equations $ \bar{\partial}f=\mu \partial f+\nu \overline{{\partial f}} $ in a Jordan domain. Some criteria for the existence of regular solutions are given. |
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