A note on local gradient estimate on Alexandrov spaces
Metric Geometry
2013-06-18 v2
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. Our result improves the previous one of Zhang-Zhu in the case of negative Ricci lower bound.
Keywords
Cite
@article{arxiv.1301.4810,
title = {A note on local gradient estimate on Alexandrov spaces},
author = {Bobo Hua and Chao Xia},
journal= {arXiv preprint arXiv:1301.4810},
year = {2013}
}
Comments
10 pages, a revision, to appear in Tohoku Math. J. (2)