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arxiv: 1412.6539 · v3 · pith:DDCAQR7Hnew · submitted 2014-12-19 · 🧮 math.CV

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

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keywords inequalitymappingsmodulussomerespectsatisfyingaboveclass
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A paper is devoted to study of topological properties of some class of space mappings. It is showed that, sense preserving mappings $f:D\rightarrow \overline{{\Bbb R}^n}$ of a domain $D\subset{\Bbb R}^n,$ $n\geqslant 2,$ 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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