On solutions of some extreme problems in the classes of mappings defined in a ring

• Date: 2026
• Main Authors: Salimov, R., Sevost’yanov, E., Romash, D., Салімов, Руслан, Севостьянов, Євген, Ромаш, Денис, Севостьянов, Євген Олександрович
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9650
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.548 We consider classes of mappings defined in a domain of the Euclidean space. In terms of the modulus of the families of paths connecting the boundaries of a ring in this domain, we define a certain functional. The maximum of this functional is found under certain restrictions imposed on t...