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.

引用

页码：571 / 577

页数：7

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