Analogs of the Ikoma?Schwartz lemma and Liouville theorem for mappings with unbounded characteristic

• Date: 2011
• Main Authors: Salimov, R. R., Sevost'yanov, E. A., Салимов, Р. Р., 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/2813
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the present paper, we obtain results on the local behavior of open discrete mappings $f:\;D \rightarrow \mathbb{R}^n, \quad n \geq 2,$, that satisfy certain conditions related to the distortion of capacities of condensers. It is shown that, in an infinitesimal neighborhood of zero, the indicate...