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.
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页数：16
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