Singularly perturbed Neumann problem for fractional Schrdinger equations

被引：0
|
作者：
Guoyuan Chen [1 ]
机构：
[1] School of Data Sciences, Zhejiang University of Finance & Economics
来源：
ScienceChina(Mathematics) | 2018年 / 61卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Neumann problem; nonlinear fractional Schrdinger equations; singular perturbation; fractional Laplacian;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper is concerned with a Neumann type problem for singularly perturbed fractional nonlinear Schrdinger equations with subcritical exponent. For some smooth bounded domain ?  R~n, our boundary condition is given by∫?u(x)-u(y)/|x-y|n+2sdy = 0 for x ∈ R~n\?.We establish existence of non-negative small energy solutions, and also investigate the integrability of the solutions on Rn.
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页码：695 / 708
页数：14
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