Abstract

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 x0 if and for m< nor if m=nwith some positive number δ. We established analogous result with δ=0. The proof is based on new approach connected with point-wise estimates of singular solutions.

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