A sharp estimate à la Calderón–Zygmund for the p-Laplacian
Lorenzo Brasco, Filippo Santambrogio · Communications in Contemporary Mathematics · 2017
We consider local weak solutions of the Poisson equation for the [Formula: see text]-Laplace operator. We prove a higher differentiability result, under an essentially sharp condition on the right-hand side. The result comes with a local scaling invariant a priori estimate.