90 citations · 365 across the 17 of their papers we have counts for
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math.AP2011★ 20 cited
On the equivalence of stochastic completeness, Liouville and Khas'minskii condition in linear and nonlinear setting
Luciano Mari, Daniele Valtorta
Set in Riemannian enviroment, the aim of this paper is to present and discuss some equivalent characterizations of the Liouville property relative to special operators, in some sen…
math.DG2011★ 86 cited
Sharp estimate on the first eigenvalue of the p-Laplacian on compact manifold with nonnegative Ricci curvature
Daniele Valtorta
We prove the sharp estimate on the first nonzero eigenvalue of the p-laplacian on a compact Riemannian manifold with nonnegative Ricci curvature and possibly with convex boundary (…