文献类型：期刊文献

英文题名：Multiplicity and concentration of solutions to the nonlinear magnetic Schrodinger equation

作者：Ji, Chao[1];Radulescu, Vicentiu D.[2,3,4]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland;[3]Univ Craiova, Dept Math, Craiova 200585, Romania;[4]Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

年份：2020

卷号：59

期号：4

外文期刊名：CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000543226700002)】；

基金：The authors would like to thank the anonymous referees for their valuable suggestions and comments. Chao Ji was supported by the Shanghai Natural Science Foundation (18ZR1409100). V.D. Rdulescu was supported by the Slovenian Research Agency grants P1-0292, J1-8131, N1-0114, N1-0064, and N1-0083.

语种：英文

摘要：In this paper, we study the following nonlinear magnetic Schrodinger equation where epsilon is a positive parameter, and V : RN. R, A : RN. RN are continuous potentials. Under a local assumption on the potential V, by combining variationalmethods, penalization techniques, and the Ljusternik-Schnirelmann theory, we prove multiplicity and concentration properties of solutions for e > 0 small. In our problem, the function f is only continuous, which allows to consider larger classes of nonlinearities in the reaction.