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}
}
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 . 
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