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

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 solutionsobtained as minimizers of the underlying energy functional restricted toa double mass constraint. In addition, we discuss the concentration of asequence 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",

issn = "1021-9722",

publisher = "Springer Nature",

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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 solutionsobtained as minimizers of the underlying energy functional restricted toa double mass constraint. In addition, we discuss the concentration of asequence 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 solutionsobtained as minimizers of the underlying energy functional restricted toa double mass constraint. In addition, we discuss the concentration of asequence 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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