8 citations · 12 across the 5 of their papers we have counts for
5 papers
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…
Gradient estimates under integral Ricci bounds
Ludovico Marini, Stefano Pigola, Giona Veronelli
In this paper we study global regularity estimates for solutions of on Riemannian manifolds. Under integral (lower) bounds on the Ricci tensor we prove the valid…
The -positivity preserving property and stochastic completeness
Andrea Bisterzo, Ludovico Marini
We say that a Riemannian manifold satisfies the -positivity preserving property if in a distributional sense implies for all .While geode…
Some functional properties on Cartan-Hadamard manifolds of very negative curvature
Ludovico Marini, Giona Veronelli
In this paper we consider Cartan-Hadamard manifolds (i.e. simply connected of non-positive sectional curvature) whose negative Ricci curvature grows polynomially at infinity. We sh…
The -Calderón-Zygmund inequality on non-compact manifolds of positive curvature
Ludovico Marini, Giona Veronelli
We construct, for , a concrete example of a complete non-compact -dimensional Riemannian manifold of positive sectional curvature which does not support any -Calderón-…