Infinitely many solutions for fractional Schrodinger equations with perturbation via variational methods

被引：2

作者：

Li, Peiluan ^{[1
,2
]}

Shang, Youlin ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Henan, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1B 3X7, Canada

来源：

OPEN MATHEMATICS | 2017年 / 15卷

关键词：

Fractional Schrodinger equations; Variational methods; Infinitely many solutions; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; LAPLACIAN;

D O I：

10.1515/math-2017-0053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using variational methods, we investigate the solutions of a class of fractional Schrodinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.

引用

页码：578 / 586

页数：9

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