Solutions of perturbed fractional Schrodinger equations with critical non-linearity

被引：1
|
作者：
Liu, Weiming [1 ]
Gan, Lu [1 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 08期
关键词：
35J60; 35B99; 35J10; perturbed fractional Schrodinger equation; variational methods; critical nonlinearity; POSITIVE SOLUTIONS; GROUND-STATES; EXISTENCE;
D O I：
10.1080/17476933.2014.1001978
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a perturbed fractional Schrodinger equation with critical non-linearity. Under some given conditions which are given in Section 1, we prove that the problem has at least one non-trivial solution provided that and that for any , it has at least pairs of solutions if , where and are sufficiently small positive numbers. Moreover, these solutions in as .
引用
收藏
页码：1142 / 1158
页数：17
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