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We consider a wide class of degenerate quasilinear second order elliptic equations with model representative, whose solutions have singularity at a point. There are established sharp point-wise conditions for removable isolated singularity of solutions of such equations. For solutions with non-removable point singularity (source type or fundamental solution), precise upper and lower estimates near the singularity point are obtained.

Isolated Singularities of Solutions of Quasilinear Anisotropic Elliptic Equations