On the Dirichlet problem for the Beltrami equations in finitely connected domains

• Date: 2012
• Main Authors: Kovtonyuk, D. A., Petkov, I. V., Ryazanov, V. I., Ковтонюк, Д. А., Петков, И. В., Рязанов, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2629
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish a series of criteria for the existence of regular solutions of the Dirichlet problem for degenerate Beltrami equations in arbitrary Jordan domains. We also formulate the corresponding criteria for the existence of pseudoregular and multivalued solutions of the Dirichlet problem in the...