Gradient estimates in non-linear potential theory

Duzaar F, Mingione G (2009)

Publication Type: Journal article

Publication year: 2009

Journal

Rendiconti Lincei. Matematica e Applicazioni European Mathematical Society

Publisher: European Mathematical Society

Book Volume: 20

Pages Range: 179-190

URI: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=2&rank=6

DOI: 10.4171/RLM/540

Abstract

We present pointwise gradient bounds for solutions to p-Laplacian 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.

Authors with CRIS profile

Frank Duzaar Lehrstuhl für Partial Differential Equations

Involved external institutions

University of Parma / Università degli Studi di Parma IT Italy (IT)

How to cite

APA:

Duzaar, F., & Mingione, G. (2009). Gradient estimates in non-linear potential theory. Rendiconti Lincei. Matematica e Applicazioni, 20, 179-190. https://doi.org/10.4171/RLM/540

MLA:

Duzaar, Frank, and Giuseppe Mingione. "Gradient estimates in non-linear potential theory." Rendiconti Lincei. Matematica e Applicazioni 20 (2009): 179-190.

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