5 papers · 2 filters
Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators
Nicola Garofalo, Giulio Tralli
In this paper we establish optimal isoperimetric inequalities for a nonlocal perimeter adapted to the fractional powers of a class of Kolmogorov-Fokker-Planck operators which are o…
Functional inequalities for a class of nonlocal hypoelliptic equations of Hörmander type
Nicola Garofalo, Giulio Tralli
We consider a class of second-order partial differential operators of Hörmander type, which contain as a prototypical example a well-studied operator introduced by Kol…
Isoperimetric cones and minimal solutions of partial overdetermined problems
Filomena Pacella, Giulio Tralli
In this paper we consider a partial overdetermined mixed boundary value problem in domains inside a cone as in [18]. We show that in cones having an isoperimetric property the only…
Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups
Nicola Garofalo, Giulio Tralli
In his seminal 1934 paper on Brownian motion and the theory of gases Kolmogorov introduced a second order evolution equation which displays some challenging features. In the openin…
A Wiener test à la Landis for evolutive Hörmander operators
Giulio Tralli, Francesco Uguzzoni
In this paper we prove a Wiener-type characterization of boundary regularity, in the spirit of a classical result by Landis, for a class of evolutive Hörmander operators. We actual…