Integral representation of local left-invariant functionals in Carnot groups

DOI10.1515/agms-2020-0001zbMath1468.49013arXiv1912.08640OpenAlexW2995862984WikidataQ126309369 ScholiaQ126309369MaRDI QIDQ2300574

Eugenio Vecchi, Alberto Maione

Publication date: 27 February 2020

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08640

zbMATH Keywords

integral representation\(\Gamma\)-convergenceCarnot groups

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Miscellaneous topics in calculus of variations and optimal control (49N99) Manifolds and measure-geometric topics (49Q99)

Related Items (9)

$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers ⋮ Unnamed Item ⋮ \( \Gamma\)-convergence for functionals depending on vector fields. I: Integral representation and compactness ⋮ \(\varGamma\)-compactness of some classes of integral functionals depending on vector fields ⋮ Integral representation of local functionals depending on vector fields ⋮ High Contrasting Diffusion in Heisenberg Group: Homogenization of Optimal Control via Unfolding ⋮ Pohozaev-type identities for differential operators driven by homogeneous vector fields ⋮ Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces ⋮ G-convergence of elliptic and parabolic operators depending on vector fields

Cites Work

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• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• $\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers
• Homogenization and Convergence of Correctors in Carnot Groups

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