Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

被引:14
作者
Cheng, Bitao [2 ]
Wu, Xian [1 ]
Liu, Jun [2 ]
机构
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
[2] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
来源
BOUNDARY VALUE PROBLEMS | 2010年
基金
中国国家自然科学基金;
关键词
POSITIVE SOLUTIONS; EQUATION;
D O I
10.1155/2010/268946
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems -(a + b integral(Omega) vertical bar del u vertical bar(2)) Delta u = f(x,u),in Omega; u = 0, on partial derivative Omega. Existence results of two nontrivial solutions and infinite many solutions are obtained.
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页数:13
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