Gradient estimates via non-linear potentials

Details Gradient estimates via non-linear potentials Gradient estimates via non-linear potentials

2009-06-26

arxiv.org/abs/0906.4939v2

Mathematics

Analysis of PDEs

The results in the paper have been announced in the journal "Rendiconti Lincei - Matematica e Applicazioni", volume 20, issue

Scientific paper

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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