Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems

Eugenio Montefusco; Benedetta Pellacci; Marco Squassina

doi:10.3934/cpaa.2010.9.867

Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems

Eugenio Montefusco, Benedetta Pellacci, Marco Squassina

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

5 Citazioni (Scopus)

Abstract

We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.

Lingua originale	English
pagine (da-a)	867-887
Numero di pagine	21
Rivista	Communications on Pure and Applied Analysis
Volume	9
DOI	https://doi.org/10.3934/cpaa.2010.9.867
Stato di pubblicazione	Pubblicato - 2010

Keywords

energy convexity

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10.3934/cpaa.2010.9.867

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title = "Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems",

abstract = "We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.",

keywords = "energy convexity, energy convexity",

author = "Eugenio Montefusco and Benedetta Pellacci and Marco Squassina",

year = "2010",

doi = "10.3934/cpaa.2010.9.867",

language = "English",

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journal = "Communications on Pure and Applied Analysis",

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T1 - Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems

AU - Montefusco, Eugenio

AU - Pellacci, Benedetta

AU - Squassina, Marco

PY - 2010

Y1 - 2010

N2 - We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.

AB - We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.

KW - energy convexity

UR - http://hdl.handle.net/10807/90080

U2 - 10.3934/cpaa.2010.9.867

DO - 10.3934/cpaa.2010.9.867

M3 - Article

SN - 1534-0392

VL - 9

SP - 867

EP - 887

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

ER -

Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems

Abstract

Keywords

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