文献类型：期刊文献

英文题名：Standing waves for the Chern-Simons-Schrodinger equation with critical exponential growth

作者：Ji, Chao[1];Fang, Fei[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China

年份：2017

卷号：450

期号：1

起止页码：578

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000394404800031)】；

基金：The first author is supported by NSFC (No. 11301181) and China Postdoctoral Science Foundation funded project. The second author is supported by NSFC (No. 11626038) and Young Teachers Foundation of BTBU (No. QNJJ2016-15).

语种：英文

外文关键词：Chern-Simons gauge field; Schrodinger equation; Critical exponential growth; Variational methods

摘要：In this paper, by combing the variational methods and Trudinger-Moser inequality, we study the existence and multiplicity of the positive standing waves for the following Chern Simons Schr8dinger equation -Delta u + u + lambda (integral(infinity)(0) h(s)/s u(2) (s)ds + h(2)(x vertical bar x vertical bar/vertical bar x vertical bar(2)) u = f(x, u) + epsilon k(x) in R-2, (0, 1) where h(s) = integral(2)(0) l/2 u(2) (l)( dl, > 0 and the nonlinearity f : R-2 x R -> R behaves like exp(alpha vertical bar u vertical bar(2)) as vertical bar vertical bar u -> infinity For the case epsilon = 0, we can get a mountain-pass type solution. (C) 2017 Elsevier Inc. All rights reserved.