19 citations · 36 across the 20 of their papers we have counts for
27 papers
Boundary regularity for subelliptic equations in the Heisenberg group
Farhan Abedin, Giulio Tralli
We prove boundary Hölder and Lipschitz regularity for a class of degenerate elliptic, second order, inhomogeneous equations in non-divergence form structured on the left-invariant…
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…
Integral formulas for hypersurfaces in cones and related questions
Filomena Pacella, Giulio Tralli
We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provi…
Global geometric estimates for the heat equation via duality methods
Alessandro Goffi, Giulio Tralli
We discuss first-order and second-order regularization effects for solutions to the classical heat equation. In particular we propose a global approach to study smoothing effects o…
Overdetermined problems for gauge balls in the Heisenberg group
Vittorio Martino, Giulio Tralli
In this paper we aim at characterizing the gauge balls in the Heisenberg group as the only domains where suitable overdetermined problems of Serrin type can be solve…
A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators
Nicola Garofalo, Giulio Tralli
In this note we revisit a result in [9], where we established nonlocal isoperimetric inequalities and the related embeddings for Besov spaces adapted to a class of Hörmander operat…