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

Gradient estimates via non-linear potentials

created by mingione on 29 Sep 2012

[BibTeX]

Published Paper

Inserted: 29 sep 2012

Journal: Amer. J. Math.
Volume: 133
Pages: 1093-1149
Year: 2011

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.

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