On Hölder continuity of solutions of the Beltrami equations

• Date: 2023
• Main Authors: Ryazanov, V., Salimov, R., Sevost’yanov, E., Рязанов, Володимир, Салімов, Руслан, Севостьянов, Євген, Севостьянов, Євген Олександрович
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7464
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We consider the problem of local behavior of solutions of the Beltrami equations in arbitrary domains.  We have found sufficient conditions for the complex coefficient of the Beltrami equation guaranteeing the existence of its Hölder conti...