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

Daniele Garrisi; Tianxiang Gou

doi:10.1007/s00030-022-00813-z

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

Daniele Garrisi, Tianxiang Gou

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

3 Citations (Scopus)

Abstract

For a nonlinear Schrödinger 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
Journal	Nonlinear Differential Equations and Applications
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s00030-022-00813-z
Publication status	Published - Jan 2023

Keywords

Concentration
Nonlinear Schrödinger system
Orbital stability

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00030-022-00813-z

Cite this

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title = "Orbital stability and concentration of standing-wave solutions to a nonlinear Schr{\"o}dinger system with mass critical exponents",

abstract = "For a nonlinear Schr{\"o}dinger 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 = "Concentration, Nonlinear Schr{\"o}dinger system, Orbital stability",

author = "Daniele Garrisi and Tianxiang Gou",

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doi = "10.1007/s00030-022-00813-z",

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AU - Garrisi, Daniele

AU - Gou, Tianxiang

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N2 - For a nonlinear Schrödinger 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 Schrödinger 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 - Concentration

KW - Nonlinear Schrödinger system

KW - Orbital stability

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U2 - 10.1007/s00030-022-00813-z

DO - 10.1007/s00030-022-00813-z

M3 - Article

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SN - 1021-9722

VL - 30

JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

IS - 1

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

Abstract

Keywords

ASJC Scopus subject areas

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