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 in rivista › 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	English
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

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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.",

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AU - Montefusco, Eugenio

AU - Pellacci, Benedetta

AU - Squassina, Marco

PY - 2008

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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

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DO - 10.4171/JEMS/103

M3 - Article

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VL - 10

SP - 47

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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

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