Multiple critical points for indefinite functionals and applications
type: Item
instance of: scholarly article
title: Multiple critical points for indefinite functionals and applications
zbMATH Open document ID: 0932.58012
author: Fabio Giannoni
author: Anna Maria Candela
author: Antonio Masiello
published in: Journal of Differential Equations
publication date: 2000-03-06T00:00:00Z
review text: The main purpose of this paper is to establish a multiplicity result of Ljusternik-Schnirelman type for ``saddle'' critical points of indefinite functionals which are defined on complete Riemann manifolds modelled on a Hilbert space. The proof relies on a min-max argument based on the classical Palais' Deformation Lemma. As an application of this abstract result, the authors show the existence of multiple timelike periodic trajectories for Lorentzian manifolds of splitting type.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 1309597
zbMATH Keywords: critical point
zbMATH Keywords: Lyusternik-Schnirelman category
zbMATH Keywords: multiple timelike trajectory
zbMATH Keywords: Lorentzian manifold
reviewed by: Vicenţiu D. Rădulescu
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3572
OpenAlex ID: W2045827551
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DOI: 10.1006/JDEQ.1998.3572
description: scientific article; zbMATH DE number 1309597