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 $Delta_p u=0$.

Keywords

• Harnack inequality
• $p$-harmonic equations.