$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers

DOI10.1137/21M1432466zbMath1502.49011arXiv2104.12892OpenAlexW3157960795MaRDI QIDQ5051687

Andrea Pinamonti, Francesco Serra Cassano, Alberto Maione

Publication date: 18 November 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12892

zbMATH Keywords

homogenizationvector fields\(\Gamma\)-convergenceCarnot groups\(\mathrm{H}\)-convergence

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Methods involving semicontinuity and convergence; relaxation (49J45) Sub-Riemannian geometry (53C17)

Related Items (6)

\( \Gamma\)-convergence for functionals depending on vector fields. I: Integral representation and compactness ⋮ The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces ⋮ \(\varGamma\)-compactness of some classes of integral functionals depending on vector fields ⋮ High Contrasting Diffusion in Heisenberg Group: Homogenization of Optimal Control via Unfolding ⋮ Integral representation of local left-invariant functionals in Carnot groups ⋮ G-convergence of elliptic and parabolic operators depending on vector fields

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