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 2020Show all

4 papers · 1 filter

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.MG2020

Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2

Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don

We prove that in arbitrary Carnot groups $G$ of step 2, with a splitting $G = W \cdot L$ with $L$ one-dimensional, the graph of a continuous fun…

math.MG2020★ 6 cited

Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups

Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don +1

In arbitrary Carnot groups we study intrinsic graphs of maps with horizontal target. These graphs are $C_{H}^{1}$ regular exactly when the map is uniformly intrinsically differentiable…

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…