The Beltrami equation and ring homeomorphisms
With the aid of results by Gehring, we introduce and study plane ring Q-homeomorphisms. This study is then applied in deriving general principles on the existence and uniqueness of homeomorphic ACL solutions to the Beltrami equation extending earlier results. In particular, we obtain new existence c...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124510 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Beltrami equation and ring homeomorphisms / V. Ryazanov, U. Srebro, E. Yakubov // Український математичний вісник. — 2007. — Т. 4, № 1. — С. 79-115. — Бібліогр.: 63назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732639003213824 |
|---|---|
| author | Ryazanov, V. Srebro, U. Yakubov, E. |
| author_facet | Ryazanov, V. Srebro, U. Yakubov, E. |
| citation_txt | The Beltrami equation and ring homeomorphisms / V. Ryazanov, U. Srebro, E. Yakubov // Український математичний вісник. — 2007. — Т. 4, № 1. — С. 79-115. — Бібліогр.: 63назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | With the aid of results by Gehring, we introduce and study plane ring Q-homeomorphisms. This study is then applied in deriving general principles on the existence and uniqueness of homeomorphic ACL solutions to the Beltrami equation extending earlier results. In particular, we obtain new existence criteria which are expressed in terms of finite mean oscillation majorants for tangential dilatations. Moreover, we give a new proof of our generalization of the well-known Lehto existence theorem that has, in turn, a number of other consequences.
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| first_indexed | 2025-12-07T19:32:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124510 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T19:32:48Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ryazanov, V. Srebro, U. Yakubov, E. 2017-09-28T06:28:51Z 2017-09-28T06:28:51Z 2007 The Beltrami equation and ring homeomorphisms / V. Ryazanov, U. Srebro, E. Yakubov // Український математичний вісник. — 2007. — Т. 4, № 1. — С. 79-115. — Бібліогр.: 63назв. — англ. 1810-3200 2000 MSC. 30C65, 30C75. https://nasplib.isofts.kiev.ua/handle/123456789/124510 With the aid of results by Gehring, we introduce and study plane ring Q-homeomorphisms. This study is then applied in deriving general principles on the existence and uniqueness of homeomorphic ACL solutions to the Beltrami equation extending earlier results. In particular, we obtain new existence criteria which are expressed in terms of finite mean oscillation majorants for tangential dilatations. Moreover, we give a new proof of our generalization of the well-known Lehto existence theorem that has, in turn, a number of other consequences. en Інститут прикладної математики і механіки НАН України Український математичний вісник The Beltrami equation and ring homeomorphisms Article published earlier |
| spellingShingle | The Beltrami equation and ring homeomorphisms Ryazanov, V. Srebro, U. Yakubov, E. |
| title | The Beltrami equation and ring homeomorphisms |
| title_full | The Beltrami equation and ring homeomorphisms |
| title_fullStr | The Beltrami equation and ring homeomorphisms |
| title_full_unstemmed | The Beltrami equation and ring homeomorphisms |
| title_short | The Beltrami equation and ring homeomorphisms |
| title_sort | beltrami equation and ring homeomorphisms |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124510 |
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