76 citations · 133 across the 35 of their papers we have counts for
5 papers · 2 filters
Height estimates for Killing graphs
Debora Impera, Jorge H. de Lira, Stefano Pigola +1
The paper aims at proving global height estimates for Killing graphs defined over a complete manifold with nonempty boundary. To this end, we first point out how the geometric anal…
Dirichlet parabolicity and -Liouville property under localized geometric conditions
Leandro F. Pessoa, Stefano Pigola, Alberto G. Setti
We shed a new light on the -Liouville property for positive, superharmonic functions by providing many evidences that its validity relies on geometric conditions localized on…
The smooth Riemannian extension problem
Stefano Pigola, Giona Veronelli
Given a metrically complete Riemannian manifold with smooth nonempty boundary and assuming that one of its curvatures is subject to a certain bound, we address the problem…
Quantitative C^1 - estimates on manifolds
Batu Güneysu, Stefano Pigola
We prove a -elliptic estimate of the form valid on any comple…
The smooth Riemannian extension problem: completeness
Stefano Pigola, Giona Veronelli
By means of a general gluing and conformal-deformation construction, we prove that any smooth, metrically complete Riemannian manifold with smooth boundary can be realized as a clo…