Sebastiano Don

activity

20172026

most citedA rectifiability result for finite-perimeter sets in Carnot groups

11 citations · 23 across the 12 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020

Lipschitz minimizers for a class of integral functionals under the bounded slope condition

Sebastiano Don, Luca Lussardi, Andrea Pinamonti +1

We consider the functional $\int_{Ω} g (\nabla u + X^{*}) d L^{2 n}$ where $g$ is convex and $X^{*} (x, y) = 2 (- y, x)$ and we study the minimizers in $B V (Ω)$ of the as…

math.AP2020

Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups

Alessandro Carbotti, Sebastiano Don, Diego Pallara +1

We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in…