\(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups

DOI10.1016/j.aim.2020.107084zbMath1437.58002arXiv1902.04819OpenAlexW3009541666WikidataQ114211654 ScholiaQ114211654MaRDI QIDQ2309115

Pierre Pansu, Bruno Franchi, Annalisa Baldi

Publication date: 27 March 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04819

zbMATH Keywords

differential formscontact manifoldsHeisenberg groupshomotopy formulaSobolev-Poincaré inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differential forms in global analysis (58A10) Contact manifolds (general theory) (53D10) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group ⋮ An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

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