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

页数：17

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