Liouville theorems for nonlinear elliptic equations on Riemannian manifolds

被引：0

作者：

Nguyen Thac Dung ^{[1
,2
]}

Pham Duc Thoan ^{[3
]}

Nguyen Dang Tuyen ^{[3
]}

机构：

[1] Vietnam Natl Univ, Univ Sci, Fac Math Mech Informat, Hanoi, Vietnam

[2] Thang Long Univ, Thang Long Inst Math & Appl Sci TIMAS, Hanoi, Vietnam

[3] Natl Univ Civil Engn, Dept Math, 55 Giai Phong Str, Hanoi, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 496卷 / 01期

关键词：

Lichnerowicz equation; Liouville property; Weighted manifolds; Weighted p-harmonic function; Weighted Poincare inequality; P-HARMONIC FUNCTIONS; REGULARITY;

D O I：

10.1016/j.jmaa.2020.124803

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the joint work of the first author with Khanh and Ngo, and a recent work regarding to a Liouville property of p-Lichnerowicz equation by Zhao, in this paper, we study the following elliptic equation on smooth metric measure spaces ( M, g, e-(f) dv) with a weighted Poincare inequality. Delta(p),(f)v+h(v) = 0. We obtain a Liouville type theorem for this equation by using the approach in [11] by the first author and Seo. As a consequence, we are able to point out a Liouville result which is a refinement and improvementof those by Zhao [31]. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：11

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