Phragm\'en-Lindel\"of theorem for infinity harmonic functions

We investigate a version of the Phragm'en-Lindel"of theorem for solutions of the equation ${\mathrm{\Delta }}_{\mathrm{\infty }}u=0$ 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 $\mathrm{\infty }$.