文献类型：期刊文献

英文题名：Multiplicity and concentration results for a magnetic Schr?dinger equation with exponential critical growth in R2

作者：d’Avenia, Pietro[1]; Ji, Chao[2]

机构：[1] Dipartimento di Meccanica, Matematica e Management Politecnico di Bari, Via Orabona 4, Bari, 70125, Italy; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200625918)

语种：英文

外文关键词：Nonlinear equations - Variational techniques

摘要：In this paper we study the following nonlinear Schr?dinger equation with magnetic field (Εi ? ? A(x) )2u + V (x)u = f(|u|2)u, x ∈ R2, where Ε > 0 is a parameter, V: R2 → R and A: R2 → R2 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 Ljusternick-Schnirelmann theory, we prove multiplicity and concentration of solutions for Ε small.MSC Codes 35J20, 35J60, 35B33 Copyright ? 2019, The Authors. All rights reserved.