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

页码：1142 / 1158

页数：17

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