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
