On a class of three coupled fractional Schr o•dinger systems with general nonlinearities

被引：1
|
作者：
Lu, Dengfeng [1 ]
Dai, Shuwei [2 ]
机构：
[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Peoples R China
[2] Hubei Engn Univ, Coll Technol, Xiaogan 432000, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 07期
关键词：
three coupled fractional Schrodinger system; variational methods; general nonlinearities; least energy solution; fully nontrivial solution; POSITIVE SOLUTIONS; LAPLACIAN;
D O I：
10.3934/math.2023875
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of systems of three-component coupled nonlinear fractional Schrodinger equations with general nonlinearities is investigated. Without any monotonicity condition and the Ambrosetti-Rabinowitz growth condition, we obtain some novel existence results of least energy solutions by using variational arguments and a Pohozaev manifold method.
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页码：17142 / 17153
页数：12
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