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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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2015 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862547487087132672 |
|---|---|
| author | Gutlyanskii, V.Y. Ryazanov, V.I. Yakubov, E. |
| author_facet | Gutlyanskii, V.Y. Ryazanov, V.I. Yakubov, E. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | 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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| first_indexed | 2025-11-25T15:49:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124487 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-25T15:49:22Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Gutlyanskii, V.Y. Ryazanov, V.I. Yakubov, E. 2017-09-27T06:00:39Z 2017-09-27T06:00:39Z 2015 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. 1810-3200 2010 MSC. 30C62, 30D40, 37E30, 35A16, 35A23, 35J46, 35J67, 35J70, 35J75, 35Q35. https://nasplib.isofts.kiev.ua/handle/123456789/124487 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: en Інститут прикладної математики і механіки НАН України Український математичний вісник The Beltrami equations and prime ends Article published earlier |
| spellingShingle | The Beltrami equations and prime ends Gutlyanskii, V.Y. Ryazanov, V.I. Yakubov, E. |
| title | The Beltrami equations and prime ends |
| title_full | The Beltrami equations and prime ends |
| title_fullStr | The Beltrami equations and prime ends |
| title_full_unstemmed | The Beltrami equations and prime ends |
| title_short | The Beltrami equations and prime ends |
| title_sort | beltrami equations and prime ends |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124487 |
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