Gradient estimates for a weighted nonlinear elliptic equation and Liouville type theorems

被引：10

作者：

Abolarinwa, Abimbola ^{[1
]}

机构：

[1] Univ Lagos, Dept Math, Akoka Yaba, Lagos State, Nigeria

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 155卷

关键词：

Riemannian manifolds; Elliptic equations; Liouville theorem; Gradient estimates; Yamabe problem;

D O I：

10.1016/j.geomphys.2020.103737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proves local gradient estimates on positive solutions to the following nonlinear elliptic equation Delta(f)u + au(log u)(alpha )= 0, where a and alpha are real constants, on complete weighted manifolds with Bakry-Emery Ricci tensor bounded from below. For applications, global estimates and some Liouville type theorems are derived. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：9

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