$L_{loc}^p$ positivity preservation and Liouville-type theorems

Andrea Bisterzo, Alberto Farina, Stefano Pigola

On a complete Riemannian manifold $(M,g)$, we consider $L_{loc}^p$ distributional solutions of the the differential inequality $-\Delta u+\lambda u\ge 0$ with $\lambda >0$ a locally bounded func…