Liouville type theorems for systems of elliptic differential inequalities on Riemannian manifolds

被引：0

作者：

Xu, Fanheng ^{[1
,2
]}

Wang, Lifei ^{[3
]}

Sun, Yuhua ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 01期

基金：

中国国家自然科学基金;

关键词：

System of elliptic differential inequalities; Critical exponent; Riemannian manifolds; Volume growth; EQUAL-TO; POSITIVE SOLUTIONS; NONNEGATIVE SOLUTIONS; GEOMETRIC APPLICATIONS; NONEXISTENCE; EQUATIONS;

D O I：

10.1016/j.jmaa.2018.05.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with the uniqueness of nonnegative solutions to systems of quasilinear elliptic differential inequalities on Riemannian manifolds, and we obtain the Liouville type theorems only in terms of the volume growth of geodesic ball. By applying the perturbation and gluing techniques, a counterexample is constructed to show the sharpness of the volume growth condition. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：426 / 446

页数：21

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