On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type

Pavel Drábek

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:434631

DOI: 10.1155/2012/434631

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