Existence of multiple positive solutions for a p-Laplacian system with sign-changing weight functions

被引：8
|
作者：
Yang, Guoying [1 ,2 ]
Wang, Mingxin [2 ]
机构：
[1] Henan Polytech Univ, Dept Math, Jiaozuo 454000, Peoples R China
[2] SE Univ, Dept Math, Nanjing 210018, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 04期
基金：
中国国家自然科学基金;
关键词：
p-Laplacian system; Nehari manifold; fibering maps; multiple positive solutions;
D O I：
10.1016/j.camwa.2007.03.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A p-Laplacian system with Dirichlet boundary conditions is investigated. By analysis of the relationship between the Nehari manifold and fibering maps, we will show how the Nehari manifold changes as lambda, mu varies and try to establish the existence of multiple positive solutions. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：636 / 653
页数：18
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