Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials

Liping Wang; Chunyi Zhao

doi:10.1515/ans-2022-0026

Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials

Liping Wang
, Chunyi Zhao^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations, as long as the electric potential is not a constant. This article finds out the role of the magnetic fields in the locations of point concentrations when the electric potential is a constant.

源语言	英语
页（从-至）	574-593
页数	20
期刊	Advanced Nonlinear Studies
卷	22
期	1
DOI	https://doi.org/10.1515/ans-2022-0026
出版状态	已出版 - 1 1月 2022

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title = "Concentrations for nonlinear Schr{\"o}dinger equations with magnetic potentials and constant electric potentials",

abstract = "This article studies point concentration phenomena of nonlinear Schr{\"o}dinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations, as long as the electric potential is not a constant. This article finds out the role of the magnetic fields in the locations of point concentrations when the electric potential is a constant.",

keywords = "concentrations, constant electric potentials, magnetic Schr{\"o}dinger equations",

author = "Liping Wang and Chunyi Zhao",

note = "Publisher Copyright: {\textcopyright} 2022 Liping Wang and Chunyi Zhao, published by De Gruyter.",

year = "2022",

month = jan,

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doi = "10.1515/ans-2022-0026",

language = "英语",

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AU - Wang, Liping

AU - Zhao, Chunyi

PY - 2022/1/1

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N2 - This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations, as long as the electric potential is not a constant. This article finds out the role of the magnetic fields in the locations of point concentrations when the electric potential is a constant.

AB - This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations, as long as the electric potential is not a constant. This article finds out the role of the magnetic fields in the locations of point concentrations when the electric potential is a constant.

KW - concentrations

KW - constant electric potentials

KW - magnetic Schrödinger equations

UR - https://www.scopus.com/pages/publications/85141980516

U2 - 10.1515/ans-2022-0026

DO - 10.1515/ans-2022-0026

M3 - 文章

AN - SCOPUS:85141980516

SN - 1536-1365

VL - 22

SP - 574

EP - 593

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

IS - 1

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Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials

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