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

• Дата: 2012
• Автори: Kovtonyuk, D. A., Petkov, I. V., Ryazanov, V. I., Ковтонюк, Д. А., Петков, И. В., Рязанов, В. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2012
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2629
• Назва журналу: 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...