6 citations · 7 across the 5 of their papers we have counts for
7 papers
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
Sebastiano Don, Luca Lussardi, Andrea Pinamonti +1
We consider the functional where is convex and and we study the minimizers in of the as…
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 of step 2, with a splitting with one-dimensional, the graph of a continuous fun…
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 regular exactly when the map is uniformly intrinsically differentiable…
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…
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
Sebastiano Don, Davide Vittone
We study properties of functions with bounded variation in Carnot-Ca\-ra\-théo\-do\-ry spaces. We prove their almost everywhere approximate differentiability and we examine their a…
A compactness result for BV functions in metric spaces
Sebastiano Don, Davide Vittone
We prove a compactness result for bounded sequences of functions with bounded variation in metric spaces where the space is fixed but the metric may vary wi…