Positive solutions to Schrödinger's equation and the exponential integrability of the balayage

Michael Frazier, Igor Verbitsky

Let $\Omega \subset {\mathbb{R}}^n$, for $n\ge 2$, be a bounded $C^2$ domain. Let $q\in L_{loc}^1(\Omega )$ with $q\ge 0$. We give necessary conditions and matching sufficient conditions,…