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arXiv · 1103.2547

On the Local Behavior of the Mappings with Non-Bounded Characteristics

Evgeny Sevost'yanov
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Abstract

The present paper is devoted to the study of space mappings, which are more general than quasiregular mappings. The questions of the behavior of differentiable mappings having the so--called $N,$ $N^{-1},$ $ACP$ and $ACP^{-1}$ -- properties are studied in the work. Under some additional conditions, it is showed that the modulus of such mappings $f$ can be more than each degree of logarithmic function at every neighborhood of the isolated essential singularity of $f.$

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Evgeny Sevost'yanov. 2012-04-07. On the Local Behavior of the Mappings with Non-Bounded Characteristics. https://arxiv.org/abs/1103.2547

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