Orbital stability and concentration of standing-wave solutions to a nonlinear Schrodinger system with mass critical exponents

Daniele Garrisi; Tianxiang  Gou

Orbital stability and concentration of standing-wave solutions to a nonlinear Schrodinger system with mass critical exponents

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

Abstract

For a nonlinear Schrodinger system with mass critical exponent,
we prove the existence and orbital stability of standing-wave solutions
obtained as minimizers of the underlying energy functional restricted to
a double mass constraint. In addition, we discuss the concentration of a
sequence of minimizers as its masses approach to certain critical masses.

Original language	English
Article number	3
Pages (from-to)	1-23
Number of pages	23
Journal	Nonlinear Differential Equations and Applications NoDEA
Volume	30
Early online date	28 Oct 2022
Publication status	Published - 1 Jan 2023

Keywords

Orbital stability
Concentration
Nonlinear Schrodinger system

ASJC Scopus subject areas

Applied Mathematics
Analysis

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title = "Orbital stability and concentration of standing-wave solutions to a nonlinear Schrodinger system with mass critical exponents",

abstract = "For a nonlinear Schrodinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying energy functional restricted to a double mass constraint. In addition, we discuss the concentration of a sequence of minimizers as its masses approach to certain critical masses.",

keywords = "Orbital stability, Concentration, Nonlinear Schrodinger system",

author = "Daniele Garrisi and Tianxiang Gou",

year = "2023",

month = jan,

day = "1",

language = "English",

volume = "30",

pages = "1--23",

journal = "Nonlinear Differential Equations and Applications NoDEA",

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TY - JOUR

T1 - Orbital stability and concentration of standing-wave solutions to a nonlinear Schrodinger system with mass critical exponents

AU - Garrisi, Daniele

AU - Gou, Tianxiang

PY - 2023/1/1

Y1 - 2023/1/1

N2 - For a nonlinear Schrodinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying energy functional restricted to a double mass constraint. In addition, we discuss the concentration of a sequence of minimizers as its masses approach to certain critical masses.

AB - For a nonlinear Schrodinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying energy functional restricted to a double mass constraint. In addition, we discuss the concentration of a sequence of minimizers as its masses approach to certain critical masses.

KW - Orbital stability

KW - Concentration

KW - Nonlinear Schrodinger system

M3 - Article

SN - 1021-9722

VL - 30

SP - 1

EP - 23

JO - Nonlinear Differential Equations and Applications NoDEA

JF - Nonlinear Differential Equations and Applications NoDEA

M1 - 3

ER -

Orbital stability and concentration of standing-wave solutions to a nonlinear Schrodinger system with mass critical exponents

Abstract

Keywords

ASJC Scopus subject areas

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