2 citations · 2 across the 12 of their papers we have counts for
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A spherical flatness index and a stability inequality for harmonic pseudospheres
Andrea Buffoni, Giovanni Cupini, Ermanno Lanconelli
We introduce a new flatness index for the boundary of an open subset of , . This index provides a necessary condition for to be a harmonic pse…
One-side Liouville Theorem for hypoelliptic Ornstein--Uhlenbeck operators having drifts with imaginary spectrum
Alessia E. Kogoj, Ermanno Lanconelli, Giulio Tralli
We prove the Liouville theorem for \emph{non-negative} solutions to (possibly degenerate) Ornstein-Uhlenbeck equations whose linear drift has imaginary spectrum. This provides an a…
On the harmonic characterization of the spheres: a sharp stability inequality and some of its consequences
Giovanni Cupini, Ermanno Lanconelli
Let be a bounded open subset of with and let be a point of . We introduce a new parameter, that we call Kuran gap of $\partial…
Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem
Alessia E. Kogoj, Ermanno Lanconelli
By exploiting an old idea first used by Pizzetti for the classical Laplacian, we introduce a notion of {\it asymptotic average solutions} making pointwise solvable every Poisson eq…
On the Perron solution of the caloric Dirichlet problem: an elementary approach
Alessia E. Kogoj, Ermanno Lanconelli
By an easy trick taken from caloric polynomial theory we construct a family of domains for the caloric Dirichlet problem. is a basis o…
Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators
Alessia E. Kogoj, Ermanno Lanconelli, Enrico Priola
We prove, with a purely analytic technique, a one-side Liouville theorem for a class of Ornstein--Uhlenbeck operators in , as a consequence of a Liou…