Ground States of Nonlocal Fractional Schrodinger Equations with Potentials Well

被引：3
|
作者：
Xue, Ye [1 ]
Wei, Yunlan [2 ]
机构：
[1] Changzhou Univ, Dept Math, Changzhou 213164, Jiangsu, Peoples R China
[2] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2022年
关键词：
fractional Schr?dinger equation; variational methods; linking theorem; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.11650/tjm/220602
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inspired by Alves and Souto [2], we investigate the existence of nontrivial solutions to a class of fractional Schr??dinger equations with potentials well. Taking the superlinear nonlinearities into consideration, we obtain the existence of nontrivial solutions by loosing monotonicity. Furthermore, a ground state solution is established.
引用
收藏
页码：1203 / 1217
页数：15
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