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

2015/07/08 by Angel Arroyo, Arroyo, Angel, José G. Llorente +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1507.02108

arxiv created 2015/07/08 · arxiv updated 2015/07/09

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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