4 PHRAGMEN–LINDELOF THEOREM FOR INFINITY HARMONIC FUNCTIONS
Seppo Granlund, Niko Marola · 2015
Abstract. We investigate a version of the Phragmén–Lindelöf theorem for solutions of the equation ∆∞u = 0 in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the p-harmonic equation when p tends to ∞. 1.