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.
Citation
Pavel Drábek. "On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type." Abstr. Appl. Anal. 2012 (SI17) 1 - 9, 2012. https://doi.org/10.1155/2012/434631
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