Subelliptic Sobolev spaces for manifolds with symmetries

DOI10.1007/s11118-004-5394-5zbMath1074.35028OpenAlexW1979202965MaRDI QIDQ1775513

Karl-Heinz Fieseler, Kyril Tintarev

Publication date: 3 May 2005

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-004-5394-5

zbMATH Keywords

weak convergencehomogeneous spacessymmetric spacesLie groupssub-Riemannian geometrySobolev inequalitiesconcentration compactnesssubelliptic operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Subelliptic equations (35H20)

Cites Work

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• Subelliptic estimates and function spaces on nilpotent Lie groups
• Semilinear elliptic problems and concentration compactness on non-compact Riemannian man\-i\-folds
• Sobolev spaces on Riemannian manifolds
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Semilinear subelliptic problems without compactness on Lie groups
• Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
• Sobolev inequalities on homogeneous spaces
• Hypoelliptic second order differential equations
• Analysis on Lie groups
• An abstract version of the concentration compactness principle.

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