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arXiv · 1601.00485

Positive semiclassical states for a fractional Schrödinger-Poisson system

Edwin G. Murcia·Gaetano Siciliano
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Abstract

We consider a fractional Schrödinger-Poisson system in the whole space $\mathbb R^{N}$ in presence of a positive potential and depending on a small positive parameter $\varepsilon.$ We show that, for suitably small $\varepsilon$ (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.

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Edwin G. Murcia, Gaetano Siciliano. 2016-01-04. Positive semiclassical states for a fractional Schrödinger-Poisson system. https://arxiv.org/abs/1601.00485

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