We consider systems of weakly coupled Schrodinger 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.
Semiclassical states for weakly coupled nonlinear Schrodinger systems / Montefusco, Eugenio; B., Pellacci; M., Squassina. - In: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. - ISSN 1435-9855. - STAMPA. - 10:(2008), pp. 47-71. [10.4171/JEMS/103]
Semiclassical states for weakly coupled nonlinear Schrodinger systems
MONTEFUSCO, Eugenio;
2008
Abstract
We consider systems of weakly coupled Schrodinger 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.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
