Andrea Bisterzo

collaborators

3 papers

math.AP2023

$L^{p}$ positivity preservation and self-adjointness on incomplete Riemannian manifolds

Andrea Bisterzo, Giona Veronelli

The aim of this paper is to prove a qualitative property, namely the preservation of positivity, for Schrödinger-type operators acting on $L^{p}$ functions defined on (possibly incom…

math.AP2023★ 1 cited

Maximum principles in unbounded Riemannian domains

Andrea Bisterzo

The necessity of a Maximum Principle arises naturally when one is interested in the study of qualitative properties of solutions to partial differential equations. In general, to e…

math.AP2023

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

Andrea Bisterzo, Alberto Farina, Stefano Pigola

On a complete Riemannian manifold $(M, g)$ , we consider $L_{l oc}^{p}$ distributional solutions of the the differential inequality $- Δ u + λ u \geq 0$ with $λ > 0$ a locally bounded func…

Lp positivity preservation and self-adjointness on incomplete Riemannian manifolds

Maximum principles in unbounded Riemannian domains

Llocp​ positivity preservation and Liouville-type theorems

$L^{p}$ positivity preservation and self-adjointness on incomplete Riemannian manifolds

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