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.
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页码：2115 / 2136
页数：22
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