EXISTENCE OF A COOPERATIVE ELLIPTIC SYSTEM INVOLVING PUCCI OPERATOR

被引：0
|
作者：
杨健夫
余小辉
机构：
[1] Department of Mathematics,Jiangxi Normal University
[2] Institute for Advanced Study,Shenzhen University
来源：
Acta Mathematica Scientia | 2010年 / 30卷 / 01期
关键词：
fixed point index; nonlinear elliptic system; Pucci operator;
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
The authors study the existence of solutions for the nonlinear elliptic system -Mλ+,Λ(D2u)=f(u,v) in Ω,-Mλ+,Λ(D2v)=g(u,v) in Ω,u≥0,v≥0 in Ω,u=v=0 on Ω,where Ω is a bounded convex domain in RN,N ≥ 2.It is shown that under some assumptions on f and g,the problem has at least one positive solution(u,v).
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页码：137 / 147
页数：11
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