Generalization of one Poletskii lemma to classes of space mappings

• Date: 2009
• Main Authors: Sevost'yanov, E. A., Севостьянов, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3071
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The paper is devoted to investigations in the field of space mappings. We prove that open discrete mappings $f ∈ W^{1,n}_{\text{loc}}$ such that their outer dilatation $K_O (x, f)$ belongs to $L^{n−1}_{\text{loc}}$ and the measure of the set $B_f$ of branching points of $f$ is equal to zero have fin...