Inserted: 29 sep 2012
Journal: Rend. Lincei, Mat. Appl.
We present pointwise gradient bounds for solutions to p-Laplacian type nonhomogeneous equations employing non-linear Wol¤ type potentials, and then prove similar bounds, via suitable caloric potentials, for solutions to parabolic equations. A method of proof entails a family of non-local Caccioppoli inequalities, together with a DeGiorgi’s type fractional iteration.