%0 Journal Article
%A Sevost’yanov, Е. А.
%A Salіmov, R. R.
%D 2011
%F zu2:13936
%J Journal of Mathematical Sciences
%K Mappings with bounded and finite distortion, moduli, capacities.
%N 178
%P 97-107
%T On inner dilatations of the mappings with unbounded characteristic
%U http://eprints.zu.edu.ua/13936/
%X 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.