Multi-peak solutions to the Schrodinger equations coupled with a neutral scalar field

被引：0
作者：
Cao, Daomin [1 ,2 ]
Lai, Shanfa [1 ,2 ]
Yu, Weilin [3 ,4 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
[3] Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
[4] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 02期
基金：
国家重点研发计划;
关键词：
CHERN-SIMONS; POSITIVE SOLUTIONS; MULTIPLICITY; EXISTENCE; VORTICES;
D O I：
10.1063/5.0121726
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the problem of Schrodinger equation coupled with a neutral scalar field. By constructing solutions with multiple peaks, we prove that the number of non-radial solutions of this problem goes to infinity as the Maxwell coupling constant tends to infinity. The Chern-Simons limit of those solutions is also discussed.
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页数：17
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