Generating Singularities of Solutions of Quasilinear Elliptic Equations Using Wolff's Potential

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We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of p-Laplacian type. If p < γ < N and the right-hand side is a Radon measure with singularity of order γ at x0A ∈ ω, then any supersolution in W1,p(ω) has singularity of order at least (γ−p)/(p−1) at x0. In the proof we exploit a pointwise estimate of A-superharmonic solutions, due to Kilpelainen and Malý, which involves Wolff's potential of Radon's measure.