77 citations · 285 across the 27 of their papers we have counts for
7 papers · 1 filter
On the monotonicity of weighted perimeters of convex bodies
Giorgio Saracco, Giorgio Stefani
We prove that, among weighted isotropic perimeters, only constant multiples of the Euclidean perimeter satisfy the monotonicity property on nested convex bodies. Although the analo…
Existence and stability of weak solutions of the Vlasov--Poisson system in localized Yudovich spaces
Gianluca Crippa, Marco Inversi, Chiara Saffirio +1
We consider the Vlasov--Poisson system both in the repulsive (electrostatic potential) and in the attractive (gravitational potential) cases. In our first main theorem, we prove th…
On sets with finite distributional fractional perimeter
Giovanni E. Comi, Giorgio Stefani
We continue the study of the fine properties of sets having locally finite distributional fractional perimeter. We refine the characterization of their blow-ups and prove a Leibniz…
Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula
Giovanni E. Comi, Giorgio Stefani
Given and , we define the space of vector fields whose -divergence is a finite Radon measure, extending the…
Lagrangian stability for a system of non-local continuity equations under Osgood condition
Marco Inversi, Giorgio Stefani
We extend known existence and uniqueness results of weak measure solutions for systems of non-local continuity equations beyond the usual Lipschitz regularity. Existence of weak me…
Full double Hölder regularity of the pressure in bounded domains
Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
We consider Hölder continuous weak solutions , , of the incompressible Euler equations on a bounded and simply connected domain $Ω\subset\mat…
Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries
Luca Rizzi, Giorgio Stefani
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure, the Bakry-Émery inequality for the corresponding sub-Laplacian implies the existence of enough…