76 citations · 133 across the 35 of their papers we have counts for
41 papers
Lower bounds on the normal injectivity radius of hypersurfaces and bounded geometries on manifolds with boundary
Sebastian Boldt, Batu Güneysu, Stefano Pigola
We prove for the first time a pointwise lower estimate of the normal injectivity radius of an embedded hypersurface in an arbitrary Riemannian manifold. Main applications include:…
Isoperimetric and Michael-Simon inequalities on manifolds with asymptotically nonnegative curvature
Debora Impera, Stefano Pigola, Michele Rimoldi +1
We establish the validity of the isoperimetric inequality (or equivalently, an Euclidean-type Sobolev inequality) on manifolds with asymptotically non-negative sectional curv…
Hardy--Littlewood maximal operators on certain manifolds with bounded geometry
Stefano Meda, Stefano Pigola, Alberto G. Setti +1
In this paper we study the boundedness of the centred and the uncentred Hardy--Littlewood maximal operators on certain Riemannian manifolds with bounded geometry. Our results…
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 Liouville-type theorems
Andrea Bisterzo, Alberto Farina, Stefano Pigola
On a complete Riemannian manifold , we consider distributional solutions of the the differential inequality with a locally bounded func…
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 ,…