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arxiv: 0906.4939 · v2 · submitted 2009-06-26 · 🧮 math.AP

Gradient estimates via non-linear potentials

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keywords potentialsboundsequationsgradientnon-linearsolutionstypecaloric
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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.

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