On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping

• Date: 2026
• Main Authors: Sevost’yanov, E., Targonskii, V., Севостьянов, Євген Олександрович, Севостьянов, Євген, Таргонський, Валерій
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8952
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We consider mappings satisfying the Poletsky-type inverse inequality in a domain of the Euclidean space. It is shown that the uniform limit of the family of these mappings is a discrete mapping. We separately consider  domains that are locally connected on their boundaries and regular doma...