Multiplicity of high energy solutions for superlinear Kirchhoff equations

被引：82

作者：

Liu, Wei ^{[1
]}

He, Xiaoming ^{[1
]}

机构：

[1] College of Science, Minzu University of China

来源：

Journal of Applied Mathematics and Computing | 2012年 / 39卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

High energy solutions; Nonlinear Kirchhoff equations; Variational methods;

D O I：

10.1007/s12190-012-0536-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the existence of infinitely many high energy solutions for the nonlinear Kirchhoff equations {-(a+b∫ R3 |nabla u| 2dx)Δ u + V(x)u=f(x,u), x∈ℝ 3, u ∈ H 1 (ℝ 3). where a,b>0 are constants, V:ℝ 3→ ℝ is continuous and has a positive infimum. f is a subcritical nonlinearity which needs not to satisfy the usual Ambrosetti-Rabinowitz-type growth conditions. © 2012 Korean Society for Computational and Applied Mathematics.

引用

页码：473 / 487

页数：14

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