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Phragmén--Lindelöf theorem for infinity harmonic functions

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  • We investigate a version of the Phragmén--Lindelöf theorem for solutions of the equation $\Delta_\infty u=0$ 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 $\infty$.
    Mathematics Subject Classification: Primary: 35B40; Secondary: 35J70.


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