@article{zu213936, number = {178}, title = {On inner dilatations of the mappings with unbounded characteristic}, author = {?. ?. Sevost?yanov and R. R. Sal?mov}, year = {2011}, pages = {97--107}, journal = {Journal of Mathematical Sciences}, keywords = {Mappings with bounded and finite distortion, moduli, capacities.}, url = {http://eprints.zu.edu.ua/13936/}, abstract = {For the mappings f : D {$\rightarrow$} 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) {$\leq$} 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.} }