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VOL. 44 | 2006 Wiener criterion for Cheeger $p$-harmonic functions on metric spaces
Jana Björn

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Abstract

We show that for Cheeger $p$-harmonic functions on doubling metric measure spaces supporting a Poincaré inequality, the Wiener criterion is necessary and sufficient for regularity of boundary points.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1120.31003
MathSciNet: MR2277826

Digital Object Identifier: 10.2969/aspm/04410103

Subjects:
Primary: 31C45
Secondary: 31C15 , 35J60 , 35J65

Keywords: boundary regularity , capacity , Cheeger $p$-harmonic , doubling metric measure space , Poincaré inequality , pointwise estimate , Wiener criterion

Rights: Copyright © 2006 Mathematical Society of Japan

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