Existence of ground state solutions for a super-biquadratic Kirchhoff-type equation with steep potential well. Issue 3 (3rd March 2016)

• Record Type: Journal Article
• Authors: Du, Miao; Tian, Lixin; Wang, Jun; Zhang, Fubao
• Is Part Of: Applicable analysis. Volume 95:Issue 3(2016)
• Page Start: 627
• Page End: 645
• Publication Date: 2016-03-03
• Subjects: Kirchhoff-type equation -- ground state solution -- Nehari manifold -- variational method; 35J91 -- 35J20 -- 47J30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1022312
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we concern with the following Kirchhoff-type problem where are constants, is a parameter, is a nonnegative continuous potential, and is a subcritical growth nonlinearity. Under appropriate assumptions on and, we prove the existence of ground state solutions using variational methods. Furthermore, we also study the asymptotic behavior of ground state solutions.