On the asymptotic mean value property for planar p-harmonic functions
Analysis of PDEs
2015-07-09 v1
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.
Cite
@article{arxiv.1507.02108,
title = {On the asymptotic mean value property for planar p-harmonic functions},
author = {Angel Arroyo and José G. Llorente},
journal= {arXiv preprint arXiv:1507.02108},
year = {2015}
}