具有磁势和常电位的非线性Schrödinger方程的浓度

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2022-01-01 DOI:10.1515/ans-2022-0026

Liping Wang, Chunyi Zhao

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引用次数: 1

摘要

摘要本文研究了具有磁势和常电位的非线性薛定谔方程的点集中现象。现有的结果表明，只要电势不是常数，公共磁场对点集中的位置没有影响。本文发现了当电势为常数时，磁场在点集中位置中的作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

Abstract 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.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.