Compensated compactness in the contact complex of Heisenberg groups

DOI10.1512/iumj.2008.57.3158zbMath1143.43007OpenAlexW2005024230MaRDI QIDQ5460072

Annalisa Baldi, Bruno Franchi, Maria Carla Tesi

Publication date: 2 May 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3158

zbMATH Keywords

differential formscompensated compactness theoremdiv-curl theoremcontact complex of Heisenberg groupsfundamental solutions of Laplace operator

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Currents in global analysis (58A25)

Related Items (16)

WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS ⋮ Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups ⋮ POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ Faraday's form and Maxwell's equations in the Heisenberg group ⋮ On a class of semilinear evolution equations for vector potentials associated with Maxwell's equations in Carnot groups ⋮ Sharp a priori estimates for div-curl systems in Heisenberg groups ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Towards semi-classical analysis for sub-elliptic operators ⋮ Differential forms in Carnot groups: a \(\Gamma \)-convergence approach ⋮ Compensated compactness for differential forms in Carnot groups and applications ⋮ Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group ⋮ Averages and the \(\ell^{q,1}\) cohomology of Heisenberg groups ⋮ Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry ⋮ Maxwell’s Equations in Anisotropic Media and Carnot Groups as Variational Limits

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