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Turkish Journal of Mathematics

Authors

DENG YIHUA

DOI

10.55730/1300-0098.3159

Abstract

In this paper, we consider gradient estimates for positive solutions to the following equation $$\triangle_V u+au^p\log u=0$$ on complete noncompact Riemannian manifold with $k$-dimensional Bakry-Emery Ricci curvature bounded from below. Using the Bochner formula and the Cauchy inequality, we obtain upper bounds of $ \nabla u $ with respect to the lower bound of the Bakry-Emery Ricci curvature.

First Page

1294

Last Page

1301

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Mathematics Commons

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