Gradient comparison theorems for harmonic functions on Riemannian manifolds

Authors
Borbely, A
Citation
A. Borbely, Gradient comparison theorems for harmonic functions on Riemannian manifolds, Q J MATH, 51, 2000, pp. 19-37
Citations number
5
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
1
Pages
19 - 37
Database
ISI
SICI code
0033-5606(200003)51:<19:GCTFHF>2.0.ZU;2-J
Abstract
Gradient comparison theorems are proved for positive bounded harmonic funct ions and positive eigenfunctions on complete Riemannian manifolds with Ricc i curvature bounded below. A characterization of the manifolds supporting e xtremal bounded harmonic or positive eigenfunctions is also given.