文献类型：期刊文献

英文题名：Multiplicity of concentrating solutions for a class of magnetic Schrodinger-Poisson type equation

作者：Liu, Yueli[1];Li, Xu[2];Ji, Chao[3]

机构：[1]Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China;[2]Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China;[3]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：10

期号：1

起止页码：131

外文期刊名：ADVANCES IN NONLINEAR ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000551247000001)】；

基金：C. Ji was supported by Shanghai Natural Science Foundation(18ZR1409100).

语种：英文

外文关键词：Schrodinger-Poisson system; Magnetic field; Multiple soutions; Variational methods

摘要：In this paper, we study the following nonlinear magnetic Schrodinger-Poisson type equation {(epsilon/i del - A(x))2 u + V(x) + epsilon(-2)vertical bar x vertical bar(-1) *vertical bar u vertical bar 2)uf(vertical bar u vertical bar 2)u in R3, u is an element of H-1 (R-3, C), where epsilon > 0, V : R-3 -> R and A : R-3 are continuous potentials. Under a local assumption on the potential V, by variational methods, penalization technique, and Ljusternick-Schnirelmann theory, we prove multiplicity and concentration properties of nontrivial solutions fore epsilon > 0 small. In this problem, the function f is only continuous, which allow to consider larger classes of nonlinearities in the reaction.