Phragmén-Lindelöf theorem for infinity harmonic functions

preprint2015arXivOpen access

Abstract

We investigate a version of the Phragmén-Lindelöf theorem for solutions of the equation Δ∞u=0Δ_\infty u=0 in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the pp-harmonic equation when pp tends to ∞\infty.

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