Positive semiclassical states for a fractional Schrödinger-Poisson system
Murcia, Edwin G. · Siciliano, Gaetano
Original · EN
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.
English translation
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