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

Pavel Drábek

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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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https://doi.org/10.1155/2012/434631

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:434631

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