A priori estimates for some elliptic equations involving the $p$-Laplacian

Lucio Damascelli, Rosa Pardo

We consider the Dirichlet problem for positive solutions of the equation $-{\Delta }_p(u)=f(u)$ in a convex, bounded, smooth domain $\Omega \subset {\mathbb{R}}^N$, with $f$ locally Lipschitz continuous…