Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries (Q1404120)
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scientific article; zbMATH DE number 1968162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries |
scientific article; zbMATH DE number 1968162 |
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Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries (English)
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20 August 2003
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The author proves a theorem on the existence of a ``second best constant'' in critical Sobolev inequalities on compact Riemannian manifolds under the action of an isometry group (Theorem 1). This theorem is then applied to several examples initially introduced by different authors.
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best constants
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second best constants
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Sobolev inequalities
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isometries
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