The Harnack Inequality for ∞-Harmonic Functions
Date
1995-04-03
Authors
Lindqvist, Peter
Manfredi, Juan J.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
The Harnack inequality for nonnegative viscosity solutions of the equa- tion ∆∞u = 0 is proved, extending a previous result of L.C. Evans for smooth solutions. The method of proof consists in considering ∆∞u = 0 as the limit as p → ∞ of the more familiar p-harmonic equation ∆pu = 0.
Description
Keywords
Harnack inequality, p-Harmonic equations
Citation
Lindqvist, P. & Manfredi, J. J. (1995). The Harnack inequality for ∞-harmonic functions. <i>Electronic Journal of Differential Equations, 1995</i>(04), pp. 1-5.
Rights
Attribution 4.0 International