Toward the theory of the Dirichlet problem for the Beltrami equations
The Dirichlet problem for the degenerate Beltrami equations in arbitrary finitely connected domains is studied. In terms of the tangent dilatations, a series of criteria for the existence of regular solutions in arbitrary simply connected domains, as well as pseudoregular and multivalent solution...
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| Datum: | 2015 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Видавничий дім "Академперіодика" НАН України
2015
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| Schriftenreihe: | Доповіді НАН України |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/97943 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Toward the theory of the Dirichlet problem for the Beltrami equations / V.Ya. Gutlyanskii, V.I. Ryazanov, E. Yakubov // Доповiдi Нацiональної академiї наук України. — 2015. — № 11. — С. 23-29. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The Dirichlet problem for the degenerate Beltrami equations in arbitrary finitely connected
domains is studied. In terms of the tangent dilatations, a series of criteria for
the existence of regular solutions in arbitrary simply connected domains, as well as
pseudoregular and multivalent solutions in arbitrary finitely connected domains without degenerate boundary components, are formulated. |
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