The influence onT c of dilatation centers (DC) as elastic defects near the surface or in thin films of oxide high-Tc superconductors is considered. The distribution function ofT c in this case was obtained. This is the Lorentzian with center shifted to largerT c values. The half width of theT c distribution βn (n is the concentration of DC) is larger than its center shift and corresponds to the increase ofT c fluctuations near the surface. As a result, a continuum percolation behavior with increasing critical temperature percolation levelT (c) near the surface appears. The inequalityβn>T (c)>T c initial is fulfilled. ForT>T (c) the quasi-2D Josephson media takes place where a finite superconductive domain withT c local >T (c) exists. The influence of DC considerably increases for strong DC such as off-center impurity ions.