Semiclassical states for weakly coupled nonlinear Schrodinger systems

Eugenio Montefusco; Benedetta Pellacci; Marco Squassina

doi:10.4171/JEMS/103

Semiclassical states for weakly coupled nonlinear Schrodinger systems

Eugenio Montefusco
, Benedetta Pellacci
, Marco Squassina

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

78 Citazioni (Scopus)

Abstract

We consider systems of weakly coupled Schrodinger equations with nonconstant po- ¨ tentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.

Lingua originale	Inglese
pagine (da-a)	47-71
Numero di pagine	25
Rivista	Journal of the European Mathematical Society
Volume	10
DOI	https://doi.org/10.4171/JEMS/103
Stato di pubblicazione	Pubblicato - 2008

Keywords

semiclassical limit

Accesso al documento

10.4171/JEMS/103

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{3be2c05e7f654cd78b6a01df1daa7201,

title = "Semiclassical states for weakly coupled nonlinear Schrodinger systems",

abstract = "We consider systems of weakly coupled Schrodinger equations with nonconstant po- ¨ tentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.",

keywords = "semiclassical limit, semiclassical limit",

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

year = "2008",

doi = "10.4171/JEMS/103",

language = "English",

volume = "10",

pages = "47--71",

journal = "Journal of the European Mathematical Society",

issn = "1435-9855",

publisher = "European Mathematical Society Publishing House",

}

TY - JOUR

T1 - Semiclassical states for weakly coupled nonlinear Schrodinger systems

AU - Montefusco, Eugenio

AU - Pellacci, Benedetta

AU - Squassina, Marco

PY - 2008

Y1 - 2008

N2 - We consider systems of weakly coupled Schrodinger equations with nonconstant po- ¨ tentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.

AB - We consider systems of weakly coupled Schrodinger equations with nonconstant po- ¨ tentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.

KW - semiclassical limit

UR - http://hdl.handle.net/10807/90747

U2 - 10.4171/JEMS/103

DO - 10.4171/JEMS/103

M3 - Article

SN - 1435-9855

VL - 10

SP - 47

EP - 71

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

ER -

Semiclassical states for weakly coupled nonlinear Schrodinger systems

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo