Gradient estimates via non-linear potentials

Abstract

We present pointwise gradient bounds for solutions to $p$-Laplacean type non-homogeneous equations employing non-linear Wolff type potentials, and then prove similar bounds, via suitable caloric potentials, for solutions to parabolic equations.

The results in the paper have been announced in the journal "Rendiconti Lincei - Matematica e Applicazioni", volume 20, issue 2. American Journal of Mathematics, to appear

References in corpus (1)

• Pathological solutions to elliptic problems in divergence form with continuous coefficients

Cited by in corpus (1)

• Gradient estimates in non-linear potential theory