Gradient estimates via non-linear potentials

Duzaar F, Mingione G (2011)

Publication Type: Journal article

Publication year: 2011

Journal

American Journal of Mathematics Johns Hopkins University Press: American Journal of Mathematics

Publisher: Johns Hopkins University Press: American Journal of Mathematics

Book Volume: 133

Pages Range: 1093-1149

Journal Issue: 3

URI: http://muse.jhu.edu/login?uri=/journals/american_journal_of_mathematics/v133/133.4.duzaar.pdf

DOI: 10.1353/ajm.2011.0023

Abstract

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.

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. (2011). Gradient estimates via non-linear potentials. American Journal of Mathematics, 133(3), 1093-1149. https://dx.doi.org/10.1353/ajm.2011.0023

MLA:

Duzaar, Frank, and Giuseppe Mingione. "Gradient estimates via non-linear potentials." American Journal of Mathematics 133.3 (2011): 1093-1149.

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