Sobolev Spaces on Riemannian Manifolds: 1635 - Brossura

Hebey, Emmanuel

 
9783540617228: Sobolev Spaces on Riemannian Manifolds: 1635

Sinossi

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.

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Contenuti

Geometric preliminaries.- Sobolev spaces.- Sobolev embeddings.- The best constants problems.- Sobolev spaces in the presence of symmetries.

Product Description

Book by Hebey Emmanuel

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