Calculus of Variations and Geometric Measure Theory
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F. Duzaar - G. Mingione

Gradient estimates in non-linear potential theory

created by mingione on 29 Sep 2012


Research annonucement

Inserted: 29 sep 2012

Journal: Rend. Lincei, Mat. Appl.
Volume: 20
Pages: 179-190
Year: 2009


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.

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