We study the existence of semiclassical states for a nonlinear Schrödinger-Poisson system that concentrate near critical points of the external potential and of the density charge function. We use a perturbation scheme in a variational setting, extending the results in [1]. We also discuss necessary conditions for concentration.
On concentration of positive bound states for the Schrödinger-Poisson problem with potentials / Ianni, I; Vaira, Giusi. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 8:(2008), pp. 573-595.
On concentration of positive bound states for the Schrödinger-Poisson problem with potentials
IANNI I;VAIRA GIUSI
2008
Abstract
We study the existence of semiclassical states for a nonlinear Schrödinger-Poisson system that concentrate near critical points of the external potential and of the density charge function. We use a perturbation scheme in a variational setting, extending the results in [1]. We also discuss necessary conditions for concentration.File allegati a questo prodotto
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