A. Carbotti - S. Don - D. Pallara - A. Pinamonti
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
Published Paper
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Inserted: 5 apr 2020
Last Updated: 9 nov 2026
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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