On Vaisala inequality for angular dilatation of mappings and some applications

Abstract

We study some type of mappings with finite distortion $f:D\to D^{\prime },$ $D,D^{\prime }\subset {\mathbb{R}}^n,$ $n\ge 2,$ which admit branch points. It is proved some inequality playing essential role at investigation of some problems of plane and space mappings. As application, it is investigated a problem of removable singularities for open discrete mappings with finite length distortion.

28 pages, in Russian