We consider a fractional Schrödinger-Poisson system in the whole space ℝN in presence of a positive potential and depending on a small positive parameter ϵ. We show that, for suitably small ϵ (i.e. in the "semiclassical limit") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential.
Positive semiclassical states for a fractional Schrödinger-poisson system
Siciliano G.
;
2017-01-01
Abstract
We consider a fractional Schrödinger-Poisson system in the whole space ℝN in presence of a positive potential and depending on a small positive parameter ϵ. We show that, for suitably small ϵ (i.e. in the "semiclassical limit") the number of positive solutions is estimated below by the Ljusternick-Schnirelmann category of the set of minima of the potential.File in questo prodotto:
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