文献类型：期刊文献

英文题名：Concentration results for a magnetic Schrodinger-Poisson system with critical growth

作者：Liu, Jingjing[1];Ji, Chao[2]

机构：[1]Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China;[2]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：775

外文期刊名：ADVANCES IN NONLINEAR ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000599341800001)】；

基金：J.J. Liu was supported by the National Nature Science Foundation of China(11701525), C. Ji was supported by Natural Science Foundation of Shanghai(20ZR1413900, 18ZR1409100).

语种：英文

外文关键词：Schrodinger-Poisson system; Magnetic field; Critical growth; Variational methods

摘要：This paper is concerned with the following nonlinear magnetic Schrodinger-Poisson type equation { (epsilon/i del - A(x)))(2) u + V(x)u + epsilon(-2)(vertical bar x vertical bar(-1) * vertical bar u vertical bar(2)) u + vertical bar u vertical bar(4)u in R-3, u is an element of H-1 (R-3, C), where epsilon > 0, V : R-3 and A : R-3 -> R-3 are continuous potentials, f : R -> R is a subcritical nonlinear term and is only continuous. Under a local assumption on the potential V, we use variational methods, penalization technique and Ljusternick-Schnirelmann theory to prove multiplicity and concentration of nontrivial solutions for epsilon > 0 small.