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arXiv · 1507.02108

On the asymptotic mean value property for planar p-harmonic functions

Angel Arroyo·José G. Llorente
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Abstract

We show that p-harmonic functions in the plane satisfy a nonlinear asymptotic mean value property for p>1. This extends previous results of Manfredi and Lindqvist for certain range of p's.

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Angel Arroyo, José G. Llorente. 2015-07-08. On the asymptotic mean value property for planar p-harmonic functions. https://arxiv.org/abs/1507.02108

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