19 citations · 85 across the 35 of their papers we have counts for
15 papers · 1 filter
Unique continuation at infinity: Carleman estimates on general warped cylinders
Nicolò De Ponti, Stefano Pigola, Giona Veronelli
We obtain a vanishing result for solutions of the inequality that decay to zero along a very general warped cylindrical end of a Riemannian manifold.…
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 functions defined on (possibly incom…
Isoperimetric inequalities and regularity of -harmonic functions on surfaces
Tomasz Adamowicz, Giona Veronelli
We investigate the logarithmic and power-type convexity of the length of the level curves for -harmonic functions on smooth surfaces and related isoperimetric inequalities. In p…
Approximation, regularity and positivity preservation on Riemannian manifolds
Stefano Pigola, Daniele Valtorta, Giona Veronelli
The paper focuses on the -Positivity Preservation property (-PP for short) on a Riemannian manifold . It states that any function with ,…
A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin
Batu Güneysu, Stefano Pigola, Peter Stollmann +1
Given a strongly local Dirichlet space and , we introduce a new notion of --subharmonicity for $L^1_\loc$--functions, which we call \emph{local --shift defectivity},…
gradient estimates and Calderón--Zygmund inequalities under Ricci lower bounds
Ludovico Marini, Stefano Meda, Stefano Pigola +1
In this paper we investigate the validity of first and second order estimates for the solutions of the Poisson equation depending on the geometry of the underlying manifold…