On the openness and discreteness of the mappings satisfying one inequality with respect to p-modulus

2014/12/19 by Evgeny Sevost’yanov, Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Differential Equations and Boundary Problems #math.CV #msc:30C65

paper · pdf · doi:10.48550/arxiv.1412.6539

13 pages, in Russian

arxiv created 2015/01/03 · arxiv updated 2015/01/06

Abstract

A paper is devoted to study of topological properties of some class of space mappings. It is showed that, sense preserving mappings f:D→ \Bbb Rⁿ of a domain D⊂\Bbb Rⁿ, n\geqslant 2, satisfying some modulus inequality with respect to p-modulus of families of curves, are open and discrete at some restrictions on a function Q, which determinate inequality mentioned above.

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