Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field-Reference-Cited by-同舟云学术

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

Published:2023-02-01 Issue:2 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Cao Daomin¹^ORCID,Lai Shanfa¹^ORCID,Yu Weilin²^ORCID

Affiliation:

1. Academy of Mathematics and Systems Science, CAS, Beijing, 100190 and University of Chinese Academy of Sciences 1 , Beijing 100049, People's Republic of China

2. Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing 101408 and Yau Mathematical Sciences Center, Tsinghua University 2 , Beijing 100084, People's Republic of China

Abstract

In this paper, we consider the problem of Schrödinger 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.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0121726/16723864/021510_1_online.pdf

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