Semiclassical states for weakly coupled nonlinear Schrödinger systems

Eugenio Montefusco; Benedetta Pellacci; Marco Squassina

doi:10.4171/jems/103

JournalsjemsVol. 10, No. 1pp. 47–71

Semiclassical states for weakly coupled nonlinear Schrödinger systems

Eugenio Montefusco
Università di Roma La Sapienza, Italy
- MathSciNet
- zbMATH Open
Benedetta Pellacci
Università degli Studi di Napoli 'Parthenope', Italy
- MathSciNet
- zbMATH Open
Marco Squassina
Università Cattolica del Sacro Cuore, Brescia, Italy
- MathSciNet
- zbMATH Open

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Abstract

We consider systems of weakly coupled Schrödinger equations with nonconstant potentials and we 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.

Cite this article

Eugenio Montefusco, Benedetta Pellacci, Marco Squassina, Semiclassical states for weakly coupled nonlinear Schrödinger systems. J. Eur. Math. Soc. 10 (2008), no. 1, pp. 47–71

DOI 10.4171/JEMS/103