应用数学2009，Vol.22Issue(3)：603-609,7.
渐近线性椭圆方程组的非负解
Nonnegative Solutions for Asymptotically Linear Elliptic Systems
摘要
Abstract
In this paper,we show that the semilinear elliptic systems of the form{-Δu-μΔv=g(x,v),-Δv-λΔu=f(x,u),x∈Ω,u=v=0,x∈(e)Ω possess at least one nonnegative nontrivial solution pair (u,v)∈H_0~_1(Ω)×H_0~1(Ω),where Ω is a smooth bounded domain in R~N,f(x,t) and g(x,t) are continuous functions on Ω×R and asymptotically linear at infinity.关键词
非负解/渐近线性/椭圆方程组Key words
Nonnegative solution/Asymptotically linear/Elliptic system分类
数理科学引用本文复制引用
彭超权,杨健夫..渐近线性椭圆方程组的非负解[J].应用数学,2009,22(3):603-609,7.基金项目
Supported by the Natural Science Foundation of SCUEC(yzz08001),the National Natural Science Foundation of China (10571175,10631030) （yzz08001）
