Sobolev spaces on Riemannian manifolds
著者
書誌事項
Sobolev spaces on Riemannian manifolds
（Lecture notes in mathematics, 1635）
Springer, c1996
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注記
Includes bibliographical references (p. [106]-113), and notation and subject indexes
内容説明・目次
内容説明
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.
目次
Geometric preliminaries.- Sobolev spaces.- Sobolev embeddings.- The best constants problems.- Sobolev spaces in the presence of symmetries.
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