Semiclassical states for weakly coupled nonlinear Schr\"odinger systems
  We consider systems of weakly coupled Schr\"odinger 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. 
Eugenio Montefusco, Benedetta Pellacci, Marco Squassina