Boundary Blow-up Solutions to Nonlocal Elliptic Systems of Cooperative Type

被引：0

作者：

Chen, Huyuan ^{[1
]}

Duan, Jinqiao ^{[2
]}

Lv, Guangying ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China

[2] IIT, Dept Appl Math, Chicago, IL 60616 USA

[3] Henan Univ, Inst Appl Math, Kaifeng 475001, Henan, Peoples R China

来源：

ANNALES HENRI POINCARE | 2018年 / 19卷 / 07期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

ASYMPTOTIC-BEHAVIOR; EQUATIONS; UNIQUENESS; REGULARITY; EXISTENCE;

D O I：

10.1007/s00023-018-0668-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the boundary blow-up solutions to the nonlocal elliptic systems of cooperative type. By introducing the boundary measure, the boundary blow-up problem becomes a Cauchy problem. Then using the super-subsolution method, we obtain the existence and nonexistence of positive solutions. Moreover, we study the stability of the minimal solution to the Cauchy problem.

引用

页码：2115 / 2136

页数：22

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