ON STRONGLY INDEFINITE SCHRoDINGER EQUATIONS WITH NON-PERIODIC POTENTIAL

被引:6
|
作者
Wu, Yue [1 ]
Chen, Wei [1 ]
机构
[1] Linyi Univ, Sch Math & Stat, Linyi 276100, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Schrodinger equations; superlinear; variational methods; strongly indefinite functionals; SIGN-CHANGING SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;
D O I
10.11948/20210036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the non-periodic superlinear Schrodi-nger equation -?u + V(x)u = f (x, u), u ? H-1(R-N). Here, the Shrodinger operator -?+V is strongly indefinite, that is, possesses a infinite dimensional negative space, which leads to more difficulty in verifying the compactness conditions. We prove the existence, as well as multiplicity provided f (x, t) is odd in t, of solutions via variational methods.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 50 条