GRADIENT ESTIMATES FOR A NONLINEAR ELLIPTIC EQUATION ON COMPLETE RIEMANNIAN MANIFOLDS

被引：14

作者：

Ma, Bingqing ^{[1
]}

Huang, Guangyue ^{[1
]}

Luo, Yong ^{[2
]}

机构：

[1] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 11期

关键词：

Gradient estimate; nonlinear elliptic equation; Liouville-type theorem; LIOUVILLE TYPE THEOREMS;

D O I：

10.1090/proc/14106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short paper, we consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a complete Riemannian manifold: Delta u + cu(alpha) = 0, where c, alpha are two real constants and c not equal 0.

引用

页码：4993 / 5002

页数：10

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