Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 41-50

ON OPEN AND DISCRETE MAPPINGS WITH A MODULUS CONDITION

Evgeny Sevost'yanov

Zhitomir Ivan Franko State University
40 Bol'shaya Berdichevskaya Str., 10 008 Zhitomir, Ukraine; esevostyanov2009 'at' mail.ru

Abstract. It is proved that sense preserving continuous mappings f : D → Rⁿ of a domain D in Rⁿ, n ≥ 2, satisfying some general inequalities for p-modulus of families of curves are open and discrete.

2010 Mathematics Subject Classification: Primary 30C65; Secondary 30C62.

Key words: Mappings with bounded and finite distortion, moduli of families of curves, discrete and open mappings.

Reference to this article: E. Sevost'yanov: On open and discrete mappings with a modulus condition. Ann. Acad. Sci. Fenn. Math. 41 (2016), 41-50.

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doi:10.5186/aasfm.2016.4105