Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
Analysis of PDEs
2020-04-07 v1 Metric Geometry
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 -liminf of the rescaled energy in terms of the horizontal perimeter.
Cite
@article{arxiv.2004.02314,
title = {Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups},
author = {Alessandro Carbotti and Sebastiano Don and Diego Pallara and Andrea Pinamonti},
journal= {arXiv preprint arXiv:2004.02314},
year = {2020}
}
Comments
30 pages, 0 figures