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2014 A note on local gradient estimate on Alexandrov spaces
Bobo Hua, Chao Xia
Tohoku Math. J. (2) 66(2): 259-267 (2014). DOI: 10.2748/tmj/1404911862

Abstract

In this note, we prove Cheng-Yau type local gradient estimate for harmonic functions on Alexandrov spaces with Ricci curvature bounded below. We adopt a refined version of Moser's iteration which is based on Zhang-Zhu's Bochner type formula in "Yau’s gradient estimates on Alexandrov spaces." Our result improves the previous one of Zhang-Zhu in the case of negative Ricci lower bound.

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Bobo Hua. Chao Xia. "A note on local gradient estimate on Alexandrov spaces." Tohoku Math. J. (2) 66 (2) 259 - 267, 2014. https://doi.org/10.2748/tmj/1404911862

Information

Published: 2014
First available in Project Euclid: 9 July 2014

zbMATH: 1305.53072
MathSciNet: MR3229596
Digital Object Identifier: 10.2748/tmj/1404911862

Subjects:
Primary: 51F99
Secondary: 51K10, 53C21,31C05

Rights: Copyright © 2014 Tohoku University

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Vol.66 • No. 2 • 2014
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