Gradient estimates of a nonlinear elliptic equation for the V-Laplacian on noncompact Riemannian manifolds

被引：0

作者：

Deng, Yihua ^{[1
]}

机构：

[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 04期

关键词：

Gradient estimates; V-Laplacian; Riemannian manifolds; Bakry- mery Ricci curvature; HEAT-EQUATION;

D O I：

10.55730/1300-0098.3159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider gradient estimates for positive solutions to the following equation Delta vu + au(p) log u = 0 on complete noncompact Riemannian manifold with k-dimensional Bakry- mery Ricci curvature bounded from below. Using the Bochner formula and the Cauchy inequality, we obtain upper bounds of vertical bar del u vertical bar with respect to the lower bound of the Bakry- mery Ricci curvature.

引用

页码：1294 / 1301

页数：8

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