2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.MG2023
On the monotonicity of non-local perimeter of convex bodies
Flavia Giannetti, Giorgio Stefani
Under mild assumptions on the kernel , the non-local -perimeter satisfies the monotonicity property on nested convex bodies, i.e., if $A\subset B\subset\mathbb{R}^n…
math.AP2023
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…
math.AP2023★ 2 cited
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…