Published Paper

Inserted: 5 apr 2020
Last Updated: 11 sep 2025

Journal: ESAIM: Control, Optimization and Calculus of Variations
Pages: 30
Year: 2021

Abstract:

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 which the De Giorgi's rectifiability Theorem holds, we provide a lower bound for the $\Gamma$-liminf of the rescaled energy in terms of the horizontal perimeter.

Tags: GeoMeG
Keywords: Carnot groups, Sets of finite perimeter, Rectifiability, $\Gamma$-convergence, calibrations, nonlocal perimeters

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