Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

F. Duzaar - G. Mingione

Gradient estimates in non-linear potential theory

created by mingione on 29 Sep 2012

[BibTeX]

Research annonucement

Inserted: 29 sep 2012

Journal: Rend. Lincei, Mat. Appl.
Volume: 20
Pages: 179-190
Year: 2009

Abstract:

We present pointwise gradient bounds for solutions to p-Laplacian type nonhomogeneous equations employing non-linear Wol¤ 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.

Credits | Cookie policy | HTML 5 | CSS 2.1