Liouville Type Theorems for Nonlinear p-Laplacian Equation on Complete Noncompact Riemannian Manifolds

被引：0

作者：

Guangyue HUANG ^{[1
]}

Liang ZHAO ^{[2
]}

机构：

[1] Department of Mathematics, Henan Normal University

[2] School of Mathematics, Nanjing University of Aeronautics and Astronautics

来源：

Chinese Annals of Mathematics,Series B | 2023年 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O186.12 [黎曼几何]; O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper,the authors study the gradient estimates for positive weak solutions to the following p-Laplacian equation △pu+auσ=0 on complete noncompact Riemannian manifold,where a,σ are two nonzero real constants with p≠2.Using the gradient estimate,they can get the corresponding Lionville theorem.On the other hand,by virtue of the Poincare inequality,they also obtain a Liouville theorem under some integral conditions with respect to positive weak solutions.

引用

页码：379 / 390

页数：12

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