19 citations · 85 across the 35 of their papers we have counts for
39 papers
Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth
Debora Impera, Michele Rimoldi, Giona Veronelli
We develop an ABP approach to Sobolev and Michael-Simon type inequalities under volume noncollapsing assumptions. The main new observation is a refinement of Brendle's contact-set…
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…
Asymptotically non-negative Ricci curvature, elliptic Kato constant and isoperimetric inequalities
Debora Impera, Michele Rimoldi, Giona Veronelli
The ABP method for proving isoperimetric inequalities has been first employed by Cabré in , then developed by Brendle, notably in the context of non-compact Riemannia…
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…