Ground states of Schrodinger systems with the Chern-Simons gauge fields

被引：3

作者：

Jiang, Yahui ^{[3
]}

Chen, Taiyong ^{[3
]}

Zhang, Jianjun ^{[4
]}

Squassina, Marco ^{[1
,2
]}

Almousa, Nouf

机构：

[1] Princess Nourah Bint Abdul Rahman Univ, Coll Sci, POB 84428, Riyadh, Saudi Arabia

[2] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Garzetta 48, I-25133 Brescia, Italy

[3] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

[4] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2023年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Schrodinger systems; ground-states; Chern-Simons gauge fields; variational methods; STANDING WAVES; POSITIVE SOLUTIONS; EQUATION;

D O I：

10.1515/ans-2023-0086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the following coupled nonlinear Schrödinger system: [equaction presented]. where ω, b > 0, p > 1. By virtue of the variational approach, we show the existence of nontrivial ground-state solutions depending on the parameters involved. Precisely, the aforementioned system admits a positive ground-state solution if p > 3 and b > 0 large enough or if p ∈ (2, 3 ] and b > 0 small. © 2023 the author(s), published by De Gruyter.

引用

页数：16

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