Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity

被引：3
|
作者：
Luo, Huxiao [1 ]
Li, Shengjun [2 ]
Li, Chunji [3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Hainan Univ, Coll Informat Sci & Technol, Haikou 570228, Hainan, Peoples R China
[3] Northeastern Univ, Dept Math, Shenyang 110004, Liaoning, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 02期
基金：
中国国家自然科学基金; 芬兰科学院;
关键词：
variational methods; fractional Choquard equation; ground state solution; vanishing potential; EXISTENCE;
D O I：
10.3390/math7020151
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a class of nonlinear Choquard equation driven by the fractional Laplacian. When the potential function vanishes at infinity, we obtain the existence of a ground state solution for the fractional Choquard equation by using a non-Nehari manifold method. Moreover, in the zero mass case, we obtain a nontrivial solution by using a perturbation method. The results improve upon those in Alves, Figueiredo, and Yang (2015) and Shen, Gao, and Yang (2016).
引用
收藏
页数：17
相关论文
共 50 条
12345