Chen, Li; Chen, Wenyi Gradient estimates for positive smooth \(f\)-harmonic functions. (English) Zbl 1240.58019 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 5, 1614-1618 (2010). Summary: For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth \(f\)-harmonic functions when the \(\infty\)-Bakry-Emery Ricci tensor and the Ricci tensor are bounded from below, and generalize the classical ones of Yau (i.e., when \(f\) is constant). Cited in 1 ReviewCited in 7 Documents MSC: 58J35 Heat and other parabolic equation methods for PDEs on manifolds 35K05 Heat equation 58C35 Integration on manifolds; measures on manifolds Keywords:gradient estimate; \(f\)-harmonic function; Bakry-Emery Ricci tensor PDFBibTeX XMLCite \textit{L. Chen} and \textit{W. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 5, 1614--1618 (2010; Zbl 1240.58019) Full Text: DOI