On branch points of three-dimensional mappings with unbounded characteristic of quasiconformality

• Date: 2011
• Main Authors: Sevost'yanov, E. A., Севостьянов, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2699
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the open discrete mappings f: D \ {b} → R3 of the domain D ⊂ R3 satisfying relatively general geometric conditions in D \ {b} and having the essential singularity b ∈ R3, we prove the following statement. Let y0 belong to R3 \ f (D \ {b}) and let the inner dilatation KI (x, f) and the outer di...