Ground state solutions for an indefinite Kirchhoff type problem with steep potential well

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Sun, Juntao¹  Wu, Tsung-fang² 

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China

[2] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

关键词: Kirchhoff type problem;    Steep potential well;    Ground state;    Nehari manifold;    Mountain pass;   

DOI  :  10.1016/j.jde.2013.12.006

来源: Elsevier

【 摘 要 】

In this paper we study an indefinite Kirchhoff type equation with steep potential well. Under some suitable conditions, the existence and the non-existence of nontrivial solutions are obtained by using variational methods. Furthermore, the phenomenon of concentration of solutions is also explored. (C) 2013 Elsevier Inc. All rights reserved.

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