Precise point-wise growth conditions for removable isolated singularities

We obtained best possible conditions for removable singularity at the point for solutions of nonlinear elliptic second order equations of divergent form. Well known Serrin's results guarantee the removability of the singularity at the point x(0) if u(x) is an element of W-loc(1,m)(Omega\{x(0)}) and u(x) = o(\x - x(0)\((m-n)/(m-1)+delta)) for m < n or u(x) = o(\log\x - x(0)parallel to(1-delta)) if m = n with some positive number delta. We established analogous result with delta = 0. The proof is based on new approach connected with point-wise estimates of singular solutions.