Chern-Simons-Higgs薛定谔方程组解的存在性

数学物理学报 ›› 2021, Vol. 41 ›› Issue (6): 1768-1778.

Chern-Simons-Higgs薛定谔方程组解的存在性

邓金()

^{江西师范大学数学与统计学院南昌 330022}

收稿日期:2020-12-25 出版日期:2021-12-26 发布日期:2021-12-02
作者简介:邓金, E-mail: jindeng_2016@126.com
基金资助:
江西省教育厅研究生创新基金(YJS2020053)

The Existence of Solutions for the Schrödinger-Chern-Simons-Higgs System

Jin Deng()

^{College of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022}

Received:2020-12-25 Online:2021-12-26 Published:2021-12-02
Supported by:
Postgraduate Innovation Fund of Educational Department in Jiangxi Province(YJS2020053)

摘要/Abstract

摘要：

对于含有中性标量场及规范位势的非线性薛定谔方程组，当非线性项的增长指数p>2时，该文证明了非平凡解的存在性.

关键词: 薛定谔方程, 中性标量场, Chern-Simons

Abstract:

In this paper, we study the existence standing wave solutions for a nonlinear Schrödinger equation coupled with a neutral scalar field and a gauge field. We establish the existence result for the case that the exponent p of nonlinear term is greater than 2.

Key words: Schrödinger equations, Neutral scalar field, Chern-Simons

中图分类号:

O175.2

邓金. Chern-Simons-Higgs薛定谔方程组解的存在性[J]. 数学物理学报, 2021, 41(6): 1768-1778.

Jin Deng. The Existence of Solutions for the Schrödinger-Chern-Simons-Higgs System[J]. Acta mathematica scientia,Series A, 2021, 41(6): 1768-1778.

参考文献

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