Ground states for the nonlinear Kirchhoff type problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:423

Article

Zhang, Hui¹  Zhang, Fubao² 

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

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

关键词: Variational method;    Kirchhoff type equation;    Asymptotically periodic;    Nehari manifold;    Ground state;   

DOI  :  10.1016/j.jmaa.2014.10.062

来源: Elsevier

【 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.

【 授权许可】

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