Approximation, regularity and positivity preservation on Riemannian manifolds

S Pigola, D Valtorta, G Veronelli - Nonlinear Analysis, 2024 - Elsevier
The paper focuses on the L p-Positivity Preservation property (L p-PP for short) on a
Riemannian manifold (M, g). It states that any L p function u with 1< p<+∞, which solves …

[HTML][HTML] Positivity Preservation and Liouville-Type Theorems

A Bisterzo, A Farina, S Pigola - The Journal of Geometric Analysis, 2024 - Springer
On a complete Riemannian manifold (M, g), we consider L loc p distributional solutions of
the differential inequality-Δ u+ λ u≥ 0 with λ> 0 a locally bounded function that may decay to …

positivity preservation and self-adjointness in incomplete Riemannian manifolds

A Bisterzo, G Veronelli - arXiv preprint arXiv:2310.11118, 2023 - arxiv.org
The aim of this paper is to prove a qualitative property, namely the preservation of positivity,
for Schr\" odinger-type operators acting on $ L^ p $ functions defined on (possibly …

Lp positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds

A Bisterzo, G Veronelli - Proceedings of the Royal Society of …, 2024 - cambridge.org
Lp positivity preservation and self-adjointness of Schrödinger operators on incomplete
Riemannian manifolds Page 1 Proceedings of the Royal Society of Edinburgh, page 1 of 19 …

Qualitative properties of elliptic operators on Riemannian manifolds

A Bisterzo - 2024 - boa.unimib.it
The present thesis aims to expose the topics explored and the results obtained during my
PhD program. The structure of the thesis is divided, in a natural fashion, in two parts. This …