Best constants in the \(L^2\)-Nash inequality (Q2731105)
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scientific article; zbMATH DE number 1625550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best constants in the \(L^2\)-Nash inequality |
scientific article; zbMATH DE number 1625550 |
Statements
2001
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Nash inequality
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compact Riemannian manifolds
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Cartan-Hadamard conjecture
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manifolds with boundary
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complete manifolds
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Best constants in the \(L^2\)-Nash inequality (English)
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In this paper the extension of the \(L^2\)-Nash inequality on smooth compact Riemannian manifolds is presented. The first step is to prove the existence of a second constant in the Nash inequality. This result is also true for manifolds with boundary and complete manifolds. In a second step an estimate for the second constant is given which depends on the curvature.
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