On the fractional NLS equation and the effects of the potential well's topology

Silvia Cingolani, Marco Gallo

In this paper we consider the fractional nonlinear Schrödinger equation $${\epsilon }^{2s}(-\Delta {)}^{s}v+V(x)v=f(v),x\in {\mathbb{R}}^N$$ where $s\in (0,1)$, $N\ge 2$, $V \in…