Semiclassical ground states for a class of nonlinear Kirchhoff-type problems. Issue 13 (3rd October 2017)

• Record Type: Journal Article
• Authors: Zhang, Hui; Xu, Junxiang; Zhang, Fubao
• Is Part Of: Applicable analysis. Volume 96:Issue 13(2017)
• Page Start: 2267
• Page End: 2284
• Publication Date: 2017-10-03
• Subjects: Kirchhoff-type equation -- concentration -- Nehari manifold -- semiclassical state; 35J60 -- 35J92 -- 35A15; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1220546
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we study the following semilinear Kirchhoff-type equation where is a parameter, a, b are positive constants, V and Q are positive bounded functions. For the equation with three times growth, we develop an argument to establish the existence of ground states for small. We also describe the concentration phenomena of ground states as .