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

Research output: Contribution to journal › Article › peer-review

78 Citations (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.

Original language	English
Pages (from-to)	47-71
Number of pages	25
Journal	Journal of the European Mathematical Society
Volume	10
DOIs	https://doi.org/10.4171/JEMS/103
Publication status	Published - 2008

Keywords

semiclassical limit

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10.4171/JEMS/103

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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 = "Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229",

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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

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