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

Yhui Jiang; Taiyong Chen; Jianjun Zhang; Marco Squassina; Nouf Almousa

doi:10.1515/ans-2023-0086

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

Yhui Jiang
, Taiyong Chen
, Jianjun Zhang
, Marco Squassina^*
, Nouf Almousa

^*Corresponding author

China University of Mining and Technology
Chongqing Jiaotong University
Princess Nourah Bint Abdulrahman University

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Advanced Nonlinear Studies
Volume	23
Issue number	1
DOIs	https://doi.org/10.1515/ans-2023-0086
Publication status	Published - 2023

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics

Keywords

Chern-Simons gauge fields
Schrödinger systems
ground-states
variational methods

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10.1515/ans-2023-0086

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title = "Ground states of Schr{\"o}dinger systems with the Chern-Simons gauge fields",

abstract = "We are concerned with the following coupled nonlinear Schr{\"o}dinger 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.",

keywords = "Chern-Simons gauge fields, Schr{\"o}dinger systems, ground-states, variational methods, Chern-Simons gauge fields, Schr{\"o}dinger systems, ground-states, variational methods",

author = "Yhui Jiang and Taiyong Chen and Jianjun Zhang and Marco Squassina and Nouf Almousa",

year = "2023",

doi = "10.1515/ans-2023-0086",

language = "English",

volume = "23",

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TY - JOUR

T1 - Ground states of Schrödinger systems with the Chern-Simons gauge fields

AU - Jiang, Yhui

AU - Chen, Taiyong

AU - Zhang, Jianjun

AU - Squassina, Marco

AU - Almousa, Nouf

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Chern-Simons gauge fields

KW - Schrödinger systems

KW - ground-states

KW - variational methods

KW - Chern-Simons gauge fields

KW - Schrödinger systems

KW - ground-states

KW - variational methods

UR - https://publicatt.unicatt.it/handle/10807/269614

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U2 - 10.1515/ans-2023-0086

DO - 10.1515/ans-2023-0086

M3 - Article

SN - 1536-1365

VL - 23

SP - 1

EP - 16

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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