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arXiv · 1401.6860

Phragmén-Lindelöf theorem for infinity harmonic functions

Seppo Granlund·Niko Marola
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Abstract

We investigate a version of the Phragmén-Lindelöf theorem for solutions of the equation $Δ_\infty u=0$ 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 $\infty$.

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Seppo Granlund, Niko Marola. 2015-02-26. Phragmén-Lindelöf theorem for infinity harmonic functions. https://doi.org/10.3934/cpaa.2015.14.127

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