GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS 被引量：3

GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS

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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）.

作者陈立陈文艺

机构地区 Academy of Mathematics and Systems Science School of Mathematics and Statistics

出处《Acta Mathematica Scientia》 SCIE CSCD 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)

关键词 gradient estimate f-harmonic function Bakry-Emery Ricci tensor gradient estimate f-harmonic function Bakry-Emery Ricci tensor

分类号 O174.3 [理学—基础数学] TP391.41 [自动化与计算机技术—计算机应用技术]

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参考文献1

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同被引文献1

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引证文献3

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2010年第5期

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