We consider systems of weakly coupled Schrodinger 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.

Semiclassical states for weakly coupled nonlinear Schr"odinger systems

PELLACCI, Benedetta;
2008

Abstract

We consider systems of weakly coupled Schrodinger 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/16620
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