Sharp Gagliardo-Nirenberg inequalities and mass transport theory (Q854724)
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scientific article; zbMATH DE number 5077636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp Gagliardo-Nirenberg inequalities and mass transport theory |
scientific article; zbMATH DE number 5077636 |
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Sharp Gagliardo-Nirenberg inequalities and mass transport theory (English)
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6 December 2006
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In the paper, the link between Gagliardo-Nirenberg inequalities and Mmass transport theory is discussed. Sharp constants and optimal functions of the Gagliardo-Nirenberg inequalities are obtained explicitly in dimension \(n=1\) by using solutions of a certain ordinary differential equation.
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Gagliardo-Nirenberg inequalities
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best constants
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optimal functions
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mass transport theory
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displacement convexity
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