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Semiclassical states for weakly coupled nonlinear Schrödinger systems

Eugenio MontefuscoBenedetta PellacciMarco Squassina — 2008

Journal of the European Mathematical Society

We consider systems of weakly coupled Schrödinger equations with nonconstant potentials 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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