Electronic Journal of Differential Equations (Apr 1995)
The Harnack inequality for infinity-harmonic functions
Abstract
solutions of the equation $ Delta_infty u = 0 $ is proved, extending a previous result of L.C. Evans for smooth solutions. The method of proof consists in considering $ Delta_infty u = 0 $ as the limit as $poinfty$ of the more familiar $p$-harmonic equation $Delta_p u=0$.