Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity

被引：56

作者：

Cheng, Bitao ^{[1
]}

Wu, Xian ^{[2
]}

Liu, Jun ^{[1
]}

机构：

[1] Qujing Normal Univ, Dept Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China

[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2012年 / 19卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Critical point; Ekeland variational principle; Kirchhoff type problems; Multiple solutions; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EQUATION;

D O I：

10.1007/s00030-011-0141-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, by applying variant mountain pass theorem and Ekeland variational principle we study the existence of multiple nontrivial solutions for a class of Kirchhoff type problems with concave nonlinearity {-(a + b integral(Omega)vertical bar del vertical bar(2))Delta u - alpha(x)vertical bar u vertical bar(q-2)u + c(x, u), in Omega u = 0, on partial derivative Omega A new existence theorem and an interesting corollary of four nontrivial solutions are obtained.

引用

页码：521 / 537

页数：17

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