Existence and uniqueness results for Kirchhoff–Schrödinger–Poisson system with general singularity. Issue 16 (10th December 2017)

• Record Type: Journal Article
• Authors: Li, Fuyi; Song, Zhaoxia; Zhang, Qi
• Is Part Of: Applicable analysis. Volume 96:Issue 16(2017)
• Page Start: 2906
• Page End: 2916
• Publication Date: 2017-12-10
• Subjects: Kirchhoff–Schrödinger–Poisson -- general singularity -- uniqueness -- variational method; 35J75 -- 35J50; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1253065
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: In this paper, under the general singular assumptions on f, we discuss the existence and uniqueness of solution to a class of Kirchhoff–Schrödinger–Poisson system. For the existence of solution, we assume that f is nonincreasing on and satisfies general singularity at zero, and sublinear growth at infinity. Furthermore, we also obtain the unique result assuming that f satisfies one side Lipschitz condition on . The variational method is employed to discuss the existence and uniqueness of solution to this system.