Acta mathematica scientia, Series B >
GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS
Received date: 2008-03-06
Online published: 2010-09-20
Supported by
The research is supported by NSFC (10471108, 10631020).
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 f is constant).
Key words: gradient estimate; f-harmonic function; Bakry-Emery Ricci tensor
CHEN Li , CHEN Wen-Yi . GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1614 -1618 . DOI: 10.1016/S0252-9602(10)60154-3
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