In this paper we study the Dirichlet problem
$\left\{\begin{array}{lll}-\Delta_p{u} = \sigma |u|^{p-2}u + \omega \quad {\rm in}\Omega,\\ u = 0 \qquad\quad\qquad\quad\qquad{\rm on}\partial\Omega,\end{array}\right.$
, where
σ and
ω are nonnegative Borel measures, and
\({\Delta_p{u} = \nabla \cdot (\nabla{u} \, |\nabla{u}|^{p-2})}\) is the
p-Laplacian. Here
\({\Omega \subseteq \mathbf{R}^n}\) is either a bounded domain, or the entire space. Our main estimates concern optimal pointwise bounds of solutions in terms of two local Wolff’s potentials, under minimal regularity assumed on
σ and
ω. In addition, analogous results for equations modeled by the
k-Hessian in place of the
p-Laplacian will be discussed.