On the boundary estimates for the distortions of mappings in domains with Poincaré inequality

• Date: 2025
• Main Authors: Sevost’yanov, E., Baronova, M., Dovhopiatyi, O., Ilkevych, N., Севостьянов, Євген Олександрович, Севостьянов, Євген, Баронова, Марія, Довгопятий, Олександр, Ількевич, Наталія
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8647
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We study the mappings that distort the modulus of the families of paths according to the Poletsky-inequality type. At the boundary points of a domain, we obtain estimates for the distortion of  distances to these mappings provided that their characteristic either...