Articles

GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS

  • CHEN Li ,
  • CHEN Wen-Yi
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  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2008-03-06

  Online published: 2010-09-20

Supported by

The research is supported by NSFC (10471108, 10631020).

Abstract

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).

Cite this article

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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