GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS  

作　　者：陈立 陈文艺 

机构地区：[1]Academy of Mathematics and Systems Science,Chinese Academy of Sciences [2]School of Mathematics and Statistics,Wuhan University

出　　处：《Acta Mathematica Scientia》2010年第5期1614-1618,共5页数学物理学报（B辑英文版）

基　　金：supported by NSFC (10471108,10631020)

摘　　要：For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classical ones of Yau （i.e., when ： is constant）.For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classical ones of Yau （i.e., when ： is constant）.

关 键 词：gradient estimate f-harmonic function Bakry-Emery Ricci tensor 

分 类 号：O174.3[理学—数学] TP391.41[理学—基础数学]