Uniqueness of positive solutions for a class of semipositone elliptic systems

被引:12
|
作者
Hai, D. D. [1 ]
Shivaji, R. [1 ]
机构
[1] Mississippi State Univ, Dept Math, Mississippi State, MS 39762 USA
关键词
D O I
10.1016/j.na.2005.11.034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the system -Delta u = lambda f(v); x is an element of Omega -Delta v = mu g(u); x is an element of Omega u = 0 = v; x is an element of delta Omega where Omega is a ball in R-N, N >= 1, and delta Omega is its boundary, lambda, mu are positive parameters, and f, g are smooth functions that are negative at the origin and f(x) similar to x(p) and g(x) similar to x(q) for large x for some p, q >= 0 with pq < 1. We establish the uniqueness of positive solutions when the parameters lambda and mu are large. (c) 2006 Elsevier Ltd. All rights reserved.
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页码:396 / 402
页数:7
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