文献类型：期刊文献

英文题名：Multiplicity and Concentration Results for a Magnetic Schrodinger Equation With Exponential Critical Growth in R2

作者：d'Avenia, Pietro[1];Ji, Chao[2]

机构：[1]Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2022

卷号：2022

期号：2

起止页码：862

外文期刊名：INTERNATIONAL MATHEMATICS RESEARCH NOTICES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000744313900003)】；

基金：P. d'Avenia is supported by PRIN project 2017JPCAPN Qualitative and quantitative aspects of nonlinear PDEs. C. Ji is partially supported by Shanghai Natural Science Foundation (18ZR1409100).

语种：英文

摘要：In this paper we study the following nonlinear Schrodinger equation with magnetic field (epsilon/i del = A(x))(2) u + v(x)u = f vertical bar u vertical bar(2))u, x is an element of R-2, where epsilon > 0 is a parameter, V : R-2 -> R and A : R-2 -> R-2 are continuous potentials, and f : R -> R has exponential critical growth. Under a local assumption on the potential V, by variational methods, penalization technique, and Ljusternik-Schnirelmann theory, we prove multiplicity and concentration of solutions for epsilon small.