Improving $L^2$ estimates to Harnack inequalities

Stathis Filippas, Luisa Moschini, Achilles Tertikas

We consider operators of the form $\mathcal{L}=-L-V$, where $L$ is an elliptic operator and $V$ is a singular potential, defined on a smooth bounded domain $\Omega \subset {\mathbb{R}}^n$ with Di…