Maximization problems for eigenvalues of linear elliptic operators (Q1750790)
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scientific article; zbMATH DE number 6871532
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximization problems for eigenvalues of linear elliptic operators |
scientific article; zbMATH DE number 6871532 |
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Maximization problems for eigenvalues of linear elliptic operators (English)
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23 May 2018
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The work discusses the eigenvalue problem for elliptic operators. In particular, it is shown that every solution of the eigenvalue maximization problem corresponds to a saddle point for some functional associated with this problem. The conditions respected to this statement fulfilment are formulated.
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eigenvalue optimization
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elliptic boundary-value problems
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control in coefficients
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uniqueness criteria
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optimality conditions
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saddle points
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multiple eigenvalues
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optimal structural design
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non-homogeneous column
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buckling
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three-layered plate
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