On Vaisala inequality for angular dilatation of mappings and some applications

preprint2014arXivOpen access

Abstract

We study some type of mappings with finite distortion f:D→D′,f:D\rightarrow D^{\prime}, D,D′⊂Rn,D, D^{\prime}\subset{\Bbb R}^n, n≥2,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.

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On Vaisala inequality for angular dilatation of mappings and some applications | BZPEER