Infinitely many solutions for Schrodinger-Kirchhoff-type equations involving indefinite potential

被引：3
|
作者：
Zhang, Qingye [1 ]
Xu, Bin [2 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 58期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Kirchhoff-type equation; symmetric mountain pass lemma; variational method; HIGH-ENERGY SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE; MULTIPLICITY; THEOREM;
D O I：
10.14232/ejqtde.2017.1.58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the multiplicity of solutions for the following Schrodinger-Kirchhoff-type equation {-(a+b integral N-R broken vertical bar del u broken vertical bar(2)dx)Delta u+V(x)u=f (x,u)+g(x,u), x is an element of R-N, u is an element of H-1(R-N), where N >= 3, a, b>0 are constants and the potential V may be unbounded from below. Under some mild conditions on the nonlinearities f and g, we obtain the existence of infinitely many solutions for this problem. Recent results from the literature are generalized and significantly improved.
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页数：17
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