JournalsjemsVol. 10, No. 1pp. 47–71

Semiclassical states for weakly coupled nonlinear Schrödinger systems

  • Eugenio Montefusco

    Università di Roma La Sapienza, Italy
  • Benedetta Pellacci

    Università degli Studi di Napoli 'Parthenope', Italy
  • Marco Squassina

    Università Cattolica del Sacro Cuore, Brescia, Italy
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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