Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index (Q1411263)
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scientific article; zbMATH DE number 1997220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index |
scientific article; zbMATH DE number 1997220 |
Statements
Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index (English)
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27 October 2003
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The author constructs and characterizes in variational terms, by a min-max procedure involving the Yang index, a new sequence of eigenvalues of the \(p\)-Laplacian. An application of the results is given to obtain nontrivial solutions for a class of \(p\)-superlinear problems.
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critical groups
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\(p\)-Laplacian
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Yang index
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Morse theory
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variational problems
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Banach space
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\(p\)-superlinear problems
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eigenvalues
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Krasnoselskij genus
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