2 papers
math.AP2026
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 p…
math.AP2025
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…