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

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© 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.

Idioma original	Anglès
Pàgines (de-a)	419-432
Revista	Proceedings of the American Mathematical Society
Volum	144
Número	9
DOIs	https://doi.org/10.1090/proc/13026
Estat de la publicació	Publicada - 1 de gen. 2016

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10.1090/proc/13026

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abstract = "{\textcopyright} 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{\textquoteright}s.",

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N2 - © 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.

AB - © 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.

KW - Mean value property

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U2 - 10.1090/proc/13026

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

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