An Agmon-Allegretto-Piepenbrink principle for Schroedinger operators

Stefano Buccheri, Luigi Orsina, Augusto C. Ponce

We prove that each Borel function $V:\Omega \to [-\infty ,+\infty ]$ defined on an open subset $\Omega \subset {\mathbb{R}}^N$ induces a decomposition $\Omega =S\cup {\bigcup }_i{D}_i$ such that…