文献类型：期刊文献

英文题名：Existence of Multi-bump Solutions for the Magnetic Schrodinger-Poisson System in R3

作者：Ma, Yiwen[1];Ji, Chao[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：31

期号：11

起止页码：10886

外文期刊名：JOURNAL OF GEOMETRIC ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000662816400002)】；

基金：The authors thank the referees for many helpful comments which clarify the paper. C. Ji was partially supported by Natural Science Foundation of Shanghai (20ZR1413900, 18ZR1409100).

语种：英文

外文关键词：Schrodinger-Poisson system; Multi-bump solution; Magnetic field; Variational methods

摘要：This paper concerns the following magnetic Schrodinger-Poisson system {-(del + iA(x))(2)u + (lambda V(x) + Z(x))u + phi u = f(vertical bar u vertical bar(2))u, in R-3, -Delta phi = u(2), in R-3, where lambda is a positive parameter, f has subcritical growth, the potentials V, Z: R-3 -> R are continuous functions verifying some conditions, the magnetic potential A is an element of L-loc(2)(R-3, R-3). Assuming that the zero set of V(x) has several isolated connected components Omega(1), ... , Omega(k) such that the interior of Omega(j) is non-empty and partial derivative Omega(j) is smooth, where j is an element of{1, ... , k}, then for lambda > 0 large enough, we show that the above system has at least 2(k) - 1 multi-bump solutions by using variational methods.