The best constant of Sobolev inequality in an \(n\)-dimensional Euclidean space (Q816837)
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scientific article; zbMATH DE number 5009469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The best constant of Sobolev inequality in an \(n\)-dimensional Euclidean space |
scientific article; zbMATH DE number 5009469 |
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The best constant of Sobolev inequality in an \(n\)-dimensional Euclidean space (English)
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1 March 2006
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The best constant of the Sobolev inequality in an \(n\)-dimensional Euclidean space is found by means of the theory of reproducing kernels and Green functions. The concrete form of the best constant is also found in the case of the Sobolev space \(W^2(\mathbb{R}^n)\) \((n=2,3)\).
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