Estimates of sub and super solutions of Schrödinger equations with very singular potentials

Moshe Marcus

Consider operators $L_V:=\Delta +V$ in a bounded smooth domain $D$ in $R^N$. Assume that $V\in C^1(D)$ and $V$ may blow up at the boundary at most as $1/{\delta }^2$ where $\delta$ denotes distanc…