On the power order of growth of lower Q-homeomorphisms

In the present paper we investigate the asymptotic behavior of Q-homeomorphisms with respect to a p-modulus at a point. The sufficient conditions on Q under which a mapping has a certain order of growth are obtained. We also give some applications of these results to Orlicz-Sobolev classes W1,φloc Rn, n⩾3, under conditions of the Calderon type on $\varphi$ and, in particular, to Sobolev classes W1,ploc, p>n-1. We give also an example of a homeomorphism demonstrating that the established order of growth is precise.