On the variational eigenvalues which are not of Ljusternik-Schnirelmann type
type: Item
instance of: scholarly article
title: On the variational eigenvalues which are not of Ljusternik-Schnirelmann type
zbMATH Open document ID: 1237.49012
DOI: 10.1155/2012/434631
author: Pavel Drábek
published in: Abstract and Applied Analysis
publication date: 2012-05-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 6034218
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/434631
OpenAlex ID: W2095886753
Wikidata QID: Q58695133
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cites work: On variational eigenvalues of the p -Laplacian which are not of Ljusternik-Schnirelmann type
cites work: Q4272029
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cites work: Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
description: scientific article; zbMATH DE number 6034218