Sobolev Spaces on Riemannian Manifolds
Hebey, Emmanuel.
Sobolev Spaces on Riemannian Manifolds [electronic resource] / by Emmanuel Hebey. - XII, 120 p. online resource. - Lecture Notes in Mathematics, 1635 0075-8434 ; . - Lecture Notes in Mathematics, 1635 .
Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries.
Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds. Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results.
9783540699934
10.1007/BFb0092907 doi
Global differential geometry.
Harmonic analysis.
Differential Geometry.
Abstract Harmonic Analysis.
QA641-670
516.36
Sobolev Spaces on Riemannian Manifolds [electronic resource] / by Emmanuel Hebey. - XII, 120 p. online resource. - Lecture Notes in Mathematics, 1635 0075-8434 ; . - Lecture Notes in Mathematics, 1635 .
Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries.
Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds. Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results.
9783540699934
10.1007/BFb0092907 doi
Global differential geometry.
Harmonic analysis.
Differential Geometry.
Abstract Harmonic Analysis.
QA641-670
516.36