GRADIENT BOUNDS AND LIOUVILLES TYPE THEOREMS FOR THE POISSON EQUATIONON COMPLETE RIEMANNIAN-MANIFOLDS

Authors
RATTO A RIGOLI M
Citation
A. Ratto et M. Rigoli, GRADIENT BOUNDS AND LIOUVILLES TYPE THEOREMS FOR THE POISSON EQUATIONON COMPLETE RIEMANNIAN-MANIFOLDS, Tohoku Mathematical Journal, 47(4), 1995, pp. 509-519
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
47
Issue
4
Year of publication
1995
Pages
509 - 519
Database
ISI
SICI code
0040-8735(1995)47:4<509:GBALTT>2.0.ZU;2-M
Abstract
We prove a gradient estimate and Liouville type theorems for the solut ions of the Poisson equation on a complete manifold whose Ricci curvat ure is suitably restricted.