GRADIENT ESTIMATES VIA NON-LINEAR POTENTIALS By FRANK DUZAAR and GIUSEPPE MINGIONE
نویسنده
چکیده
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.
منابع مشابه
Gradient Estimates in Non - Linear Potential Theory
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. A method of proof entails a family of non-local Caccioppoli inequalities, together with a DeGiorgi’s type fractional iteration. 1. The classical setting a...
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تاریخ انتشار 2011