Soliton solutions for fractional Schrodinger equations

被引：17

作者：

Li, Quanqing ^{[1
]}

Wu, Xian ^{[2
]}

机构：

[1] Yunnan Univ, Dept Math & Stat, Kunming 650091, Yunnan, Peoples R China

[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 53卷

基金：

中国国家自然科学基金;

关键词：

Fractional Schrodinger equation; Soliton solution; Minimization argument;

D O I：

10.1016/j.aml.2015.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of a soliton type solution for the fractional Schrodinger equation (-Delta)(s) u + V(x)u + [(-Delta)(s)u(2)]u = lambda vertical bar u vertical bar(p-1)u, u > 0, x is an element of R-N, where 0 < s < 1, (-Delta)(s) denotes the fractional Laplacian of order s, N > 2s, 2*(s) = 2N/N - 2s, 1 < p < 2*(s) - 1. We prove that the equation has a solution by using a constrained minimization argument. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：119 / 124

页数：6

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