# $\Gamma$-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} }

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

$H$-convergence for equations depending on monotone operators in Carnot groups

- Mathematics
- 2019

Let $\Omega$ be an open and bounded subset of a Carnot Group $\mathbb{G}$ and $2\leq p<\infty$. In this paper we present some results related to the convergence of solutions of Dirichlet problems for… Expand

Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups

- Mathematics
- 2020

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… Expand

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