Gradient estimates in non-linear potential theory

Duzaar F, Mingione G (2009)

Publication Type: Journal article

Publication year: 2009


Publisher: European Mathematical Society

Book Volume: 20

Pages Range: 179-190


DOI: 10.4171/RLM/540


We present pointwise gradient bounds for solutions to p-Laplacian type non-homogeneous equations employing non-linear Wolff 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.

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Duzaar, F., & Mingione, G. (2009). Gradient estimates in non-linear potential theory. Rendiconti Lincei. Matematica e Applicazioni, 20, 179-190.


Duzaar, Frank, and Giuseppe Mingione. "Gradient estimates in non-linear potential theory." Rendiconti Lincei. Matematica e Applicazioni 20 (2009): 179-190.

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