Existence of an elliptic system involving Pucci operator

被引：0
|
作者：
Yang, Jianfu [1 ]
Yu, Xiaohui [2 ,3 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China
[2] Wuhan Inst Phys & Maths, Wuhan 430071, Peoples R China
[3] Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 06期
关键词：
fixed point index; nonlinear elliptic system; Pucci operator;
D O I：
10.1016/j.aml.2007.06.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of solutions for the nonlinear elliptic system {-M-lambda,Lambda(+)(D(2)u) = f(1)(x, u) + h(1)(u, v) in Omega, -M-lambda,Lambda(+)(D(2)v) = f(2)(x, v) + h(2)(u, v) in Omega, u > 0, v > 0 in Omega, u = v = 0 on partial derivative Omega, where Omega is a bounded domain, f(1) is superlinear and f(2) is sublinear at zero and infinity, h(1) and h(2) are perturbation terms. We will show that the system has at least two semi-trivial solutions (u, 0), (0, v) and a nontrivial solution (u*, v*). (C) 2007 Elsevier Ltd. All rights reserved.
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页码：571 / 577
页数：7
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