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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Shen, Liejun¹ 

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China

关键词: Nehari manifold;    Fibering map;    Multiplicity;    Concentration;    Steep potential wells;    Concave-convex;   

DOI  :  10.1016/j.jmaa.2019.03.021

来源: Elsevier

【 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.

【 授权许可】

Free