Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds (Q978498)
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scientific article; zbMATH DE number 5725853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds |
scientific article; zbMATH DE number 5725853 |
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Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds (English)
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24 June 2010
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Given a compact Riemannian manifold with boundary, the authors consider the eigenvalues of the biharmonic operator with weight on \(M\). They prove a general inequality involving these eigenvalues. Using this inequality, they consider these eigenvalues when \(M\) is a compact domain of the following three space: 1) a complex projective space, 2) a minimal submanifold of a Euclidean space and 3) a minimal submanifold of a unit sphere.
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universal bounds
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eigenvalues
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biharmonic operator with weight
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complex projective space
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minimal submanifolds
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sphere
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Euclidean space
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