On the number of bound states for fractional Schr{ö}dinger operators with critical and super-critical exponent

Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli

We study the number $N_{<0}(H_s)$ of negative eigenvalues, counting multiplicities, of the fractional Schrödinger operator $H_s=(-\Delta {)}^s-V(x)$ on $L^2({\mathbb{R}}^d)$, for any $d\ge 1$…