Multiplicity and concentration results for fractional Schrodinger system with steep potential wells

被引：4
|
作者：
Shen, Liejun [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 02期
关键词：
Nehari manifold; Fibering map; Multiplicity; Concentration; Steep potential wells; Concave-convex; CONCENTRATION-COMPACTNESS PRINCIPLE; POSITIVE SOLUTIONS; ELLIPTIC SYSTEM; POISSON SYSTEMS; EXISTENCE; EQUATION; CALCULUS;
D O I：
10.1016/j.jmaa.2019.03.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the fractional coupled Schrodinger system. By using the Nehari manifold and fibering map, we obtain the multiplicity and concentration of solutions for the given problem with steep potential wells, where some new estimates will be established. In particular, although there exist concave-convex nonlinearities in the coupled system, it is not necessary to assume that the corresponding Lebesgue norms of the weight functions of the convex terms need to be small enough. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：1385 / 1403
页数：19
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