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Gradient estimates via non-linear potentials
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 4, August 2011
- pp. 1093-1149
- 10.1353/ajm.2011.0023
- Article
- Additional Information
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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.