Toward the theory of the Dirichlet problem for the Beltrami equations

• Published in: Доповіді НАН України
• Date: 2015
• Main Authors: Gutlyanskii, V.Ya., Ryazanov, V.I., Yakubov, E.
• Format: Article
• Language: English
• Published: Видавничий дім "Академперіодика" НАН України 2015
• Subjects: Математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/97943
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...