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

Pavel Drábek | Zendy

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

Author(s) -

Pavel Drábek

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/434631

Subject(s) - mathematics , eigenvalues and eigenvectors , minimax , nonlinear system , focus (optics) , type (biology) , homogeneous , characterization (materials science) , mathematical analysis , pure mathematics , mathematical optimization , combinatorics , ecology , physics , materials science , quantum mechanics , optics , biology , nanotechnology

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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