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

A. Arroyo; J. G. Llorente

doi:10.1090/proc/13026

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

A. Arroyo, J. G. Llorente

Research output: Contribution to journal › Article › Research › peer-review

16 Citations (Scopus)

Abstract

© 2016 American Mathematical Society. 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 a certain range of p’s.

Original language	English
Pages (from-to)	419-432
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	9
DOIs	https://doi.org/10.1090/proc/13026
Publication status	Published - 1 Jan 2016

Keywords

Mean value property
P-harmonic function

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10.1090/proc/13026

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

Abstract

Keywords

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