Schrödinger type operators with unbounded diffusion and potential terms

Anna Canale, Abdelaziz Rhandi, Cristian Tacelli

We prove that the realization $A_p$ in $L^p({\mathbb{R}}^N),1<p<\infty$, of the Schrödinger type operator $A=(1+|x{|}^{\alpha })\Delta -|x{|}^{\beta }$ with domain $D(A_p)=\{u\in W^{2,p}(\mathbb{R}^N): Au\…