Domain characterization for Schrödinger operators with sub-quadratic singularity

Giorgio Metafune, Motohiro Sobajima

We characterize the domain of the Schrödinger operators $S=-\Delta +c|x{|}^{-\alpha }$ in $L^p({\mathbb{R}}^N)$, with $0<\alpha <2$ and $c\in \mathbb{R}$. When $\alpha p<N$, the domain characterization is ess…