Singularly perturbed Neumann problem for fractional Schrodinger equations

被引：6
|
作者：
Chen, Guoyuan [1 ]
机构：
[1] Zhejiang Univ Finance & Econ, Sch Data Sci, Hangzhou 310018, Zhejiang, Peoples R China
来源：
SCIENCE CHINA-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 Schrodinger equations; singular perturbation; fractional Laplacian; NONLOCAL DIFFUSION-PROBLEMS; CENSORED STABLE PROCESSES; BOUNDARY PEAK SOLUTIONS; LEAST-ENERGY SOLUTIONS; ELLIPTIC-EQUATIONS; STANDING WAVES; REGULARITY; INTERIOR;
D O I：
10.1007/s11425-016-0420-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a Neumann type problem for singularly perturbed fractional nonlinear Schrodinger equations with subcritical exponent. For some smooth bounded domain Omega aS, R-n, our boundary condition is given by . We establish existence of non-negative small energy solutions, and also investigate the integrability of the solutions on R-n.
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页码：695 / 708
页数：14
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