Infinitely many solutions for quasilinear Schrodinger equation with general superlinear nonlinearity

被引：0
|
作者：
Li, Jiameng [1 ]
Chen, Huiwen [1 ,3 ]
He, Zhimin [2 ]
Ouyang, Zigen [1 ,3 ]
机构：
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[3] Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang 421001, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equation; Sign-changing potential; Mountain pass theorem; GROUND-STATE SOLUTIONS; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; EXISTENCE;
D O I：
10.1186/s13661-023-01755-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the quasilinear Schrodinger equation Delta(u) + V(x)u -Delta(u(2))u = g(x, u), x epsilon R-N, where the potential V(x) and the primitive of g(x, u) are allowed to be sign-changing. Under more general superlinear conditions on g, we obtain the existence of infinitely many nontrivial solutions by using the mountain pass theorem. Recent results in the literature are significantly improved.
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页数：14
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