The Beltrami equations and prime ends
We first study the boundary behavior of ring Q-homeomorphisms in terms of Carath´eodory’s prime ends and then give criteria to the solvability of the Dirichlet problem for the degenerate Beltrami equation ∂f = μ∂f in arbitrary bounded finitely connected domains D of the complex plane C:
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| Date: | 2015 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2015
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| Series: | Український математичний вісник |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124487 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Beltrami equations and prime ends / V.Y. Gutlyanskii, V.I. Ryazanov, E. Yakubov // Український математичний вісник. — 2015. — Т. 12, № 1. — С. 27-66. — Бібліогр.: 53 назв. — англ. |