On the variational eigenvalues which are not of Ljusternik-Schnirelmann type (Q417149)
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scientific article; zbMATH DE number 6034218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the variational eigenvalues which are not of Ljusternik-Schnirelmann type |
scientific article; zbMATH DE number 6034218 |
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On the variational eigenvalues which are not of Ljusternik-Schnirelmann type (English)
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14 May 2012
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Summary: We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. We focus on the Ljusternik-Schnirelmann method, present one possible alternative to this method and compare it with the Courant-Fischer minimax principle in the linear case. At the end we present a special nonlinear eigenvalue problem possessing an eigenvalue which allows the variational characterization but is not of Ljusternik-Schnirelmann type.
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