Two-scale homogenization in the Heisenberg group

DOI10.1016/S0021-7824(01)01247-8zbMath1031.35019OpenAlexW2049216403MaRDI QIDQ1406900

Bruno Franchi, Maria Carla Tesi

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(01)01247-8

zbMATH Keywords

periodic coefficientstwo-scale convergenceintrinsic anisotropic dilations of the group

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Analysis on other specific Lie groups (43A80) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Subelliptic equations (35H20)

Related Items

$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers, \( \Gamma\)-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, The polynomial growth solutions to some sub-elliptic equations on the Heisenberg group, Periodic homogenization under a hypoellipticity condition, Multiscale problems and homogenization for second-order Hamilton-Jacobi equations, Homogenization and Convergence of Correctors in Carnot Groups, Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations, \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals, Integral representation of local left-invariant functionals in Carnot groups, DIV–CURL TYPE THEOREM, H-CONVERGENCE AND STOKES FORMULA IN THE HEISENBERG GROUP, G-convergence of elliptic and parabolic operators depending on vector fields

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