Uniqueness for a Class of Singular Semilinear Elliptic Systems

被引：3

作者：

Hai, D. D. ^{[1
]}

Smith, R. C. ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2016年 / 59卷 / 01期

关键词：

Elliptic systems; Uniqueness; Singular; Positive solutions; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; PARAMETER; EQUATIONS; NUMBER;

D O I：

10.1619/fesi.59.35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence, uniqueness and asymptotic behavior of solutions to the elliptic system -Delta u = a(x)f(u, v) in Omega, -Delta v = b(x)g(u, v) in Omega, u = v = 0 on partial derivative Omega, Where Omega is a bounded domain in R-N with smooth boundary partial derivative Omega,a,b : Omega -> (0, infinity), and f, g : (0, infinity) x (0, infinity) -> (0, infinity) are allowed to be singular at 0 and non-monotone.

引用

页码：35 / 49

页数：15

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