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arXiv · 1403.6529

On Vaisala inequality for angular dilatation of mappings and some applications

Evgeny Sevostyanov·Ruslan Salimov
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Abstract

We study some type of mappings with finite distortion $f:D\rightarrow D^{\prime},$ $D, D^{\prime}\subset{\Bbb R}^n,$ $n\ge 2,$ 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.

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Evgeny Sevostyanov, Ruslan Salimov. 2014-04-13. On Vaisala inequality for angular dilatation of mappings and some applications. https://arxiv.org/abs/1403.6529

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