On the existence of solutions of quasilinear Beltrami equations with two characteristics

• Date: 2022
• Main Authors: Dovhopiatyi , O. P., Sevost’yanov , E. A., Довгопятий, О. П., Севостьянов, Є. О., Севостьянов, Євген Олександрович
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7088
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We study Beltrami-type equations with two given complex characteristics. Under certain conditions imposed on the complex coefficients, we prove theorems on the existence of homeomorphic ACL-solutions of this equation. In addition, under some relatively weak conditions, we establish theorem...