75 citations · 184 across the 34 of their papers we have counts for
3 papers · 2 filters
On the -Liouville property of stochastically incomplete manifolds
G. Pacelli Bessa, Stefano Pigola, Alberto G. Setti
A classical result by Alexander Grigor'yan states that on a stochastically complete manifold the non-negative superharmonic -functions are necessarily constant. In this paper…
Spectral and stochastic properties of the -Laplacian, solutions of PDE's at infinity, and geometric applications
G. Pacelli Bessa, Stefano Pigola, Alberto G. Setti
The aim of this paper is to suggest a new viewpoint to study qualitative properties of solutions of semilinear elliptic PDE's defined outside a compact set. The relevant tools come…
On stochastically complete submanifolds
G. Pacelli Bessa, Luquesio P. Jorge
Using a deep criteria due to Pigola, Rigoli and Setti, we prove that a geodesically complete, properly immersed submanifold M of a stochastically complete Riemannian manifold N is…