Corpus ID: 233407744

# $\Gamma$-convergence for functionals depending on vector fields. II. Convergence of minimizers

@inproceedings{Maione2021GammaconvergenceFF,
title={\$\Gamma\$-convergence for functionals depending on vector fields. II. Convergence of minimizers},
author={Alberto Maione and A. Pinamonti and F. S. Cassano},
year={2021}
}
• Published 2021
• Mathematics
Given a family of locally Lipschitz vector fieldsX(x) = (X1(x), . . . , Xm(x)) on R n, m ≤ n, we study integral functionals depending on X . Using the results in [MPSC1], we study the convergence of minima, minimizers and momenta of those functionals. Moreover, we apply these results to the periodic homogenization in Carnot groups and to prove a H-compactness theorem for linear differential operators of the second order depending on X .
2 Citations
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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 DeExpand

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