On inner dilatations of the mappings with unbounded characteristic

Sevost’yanov, Е. А. and Salіmov, R. R. (2011) On inner dilatations of the mappings with unbounded characteristic. Journal of Mathematical Sciences (178). pp. 97-107.

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Abstract

For the mappings f : D → D � , D, D � ⊂ Rn, n ≥ 2, satisfying certain geometric conditions in the fixed domain D, we have proved estimates of the form KI (x, f) ≤ Q(x) almost everywhere, where KI (x, f) is the inner dilatation of f at a point x, and Q(x) is a fixed real-valued function responsible for the “control” over a distortion of the families of curves in D at a mapping f.

Item Type: Article
Uncontrolled Keywords: Mappings with bounded and finite distortion, moduli, capacities.
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 12 Nov 2014 08:20
Last Modified: 15 Aug 2015 10:11
URI: http://eprints.zu.edu.ua/id/eprint/13936

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