Ground states for the nonlinear Kirchhoff type problems

被引：22

作者：

Zhang, Hui ^{[1
]}

Zhang, Fubao ^{[2
]}

机构：

[1] Jinling Inst Technol, Dept Math, Nanjing 211169, Jiangsu, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 02期

关键词：

Variational method; Kirchhoff type equation; Asymptotically periodic; Nehari manifold; Ground state; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; CRITICAL GROWTH; EXISTENCE; EQUATIONS; R-3; WELL;

D O I：

10.1016/j.jmaa.2014.10.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of ground states for the asymptotically periodic Kirchhoff type problems with critical growth and three times growth. The proof is based on the method of Nehari manifold and concentration compactness principle. In particular, we improve the method of Nehari manifold for Kirchhoff type equations with three times growth. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1671 / 1692

页数：22

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