Elliptic operators with unbounded diffusion, drift and potential terms

S. E. Boutiah, F. Gregorio, A. Rhandi +1

We prove that the realization $A_p$ in $L^p({\mathbb{R}}^N),1<p<\infty$, of the elliptic operator $A=(1+|x{|}^{\alpha })\Delta +b|x{|}^{\alpha -1}\frac{x}{|x|}\cdot \nabla -c|x{|}^{\beta }$ with domain $D(A_p) =\{…