SINGULAR ELLIPTIC SYSTEMS WITH ASYMPTOTICALLY LINEAR NONLINEARITIES

被引：0

作者：

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

机构：

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

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2013年 / 26卷 / 7-8期

关键词：

POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and nonexistence of positive solutions for the system { -Delta u1 = mu(1)f(1)(u2) in Omega, -Delta u(2) = mu(2)f(2)(u(1)) in Omega, u(1) = u(2) = 0 on partial derivative Omega, where Omega is a bounded domain in R-n with smooth boundary partial derivative Omega, mu(i) are positive parameters, and f(i) : (0, infinity) -> R are asymptotically linear at infinity and allowed to be singular at 0, i = 1, 2.

引用

页码：837 / 844

页数：8

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