A Lyusternik-Schnirelman type theorem for locally Lipschitz functionals with applications to multivalued periodic problems
type: Item
instance of: scholarly article
title: A Lyusternik-Schnirelman type theorem for locally Lipschitz functionals with applications to multivalued periodic problems
zbMATH Open document ID: 0853.58031
author: Vicenţiu D. Rădulescu
published in: Proceedings of the Japan Academy. Series A
publication date: 1996-09-03T00:00:00Z
review text: The author restudies the Lyusternik-Schnirelmann theorem for locally Lipschitzian functionals. An application is given. However, the critical point theory for such functionals has been very well developed by the reviewer [\textit{K. C. Chang}, J. Math. Anal. Appl. 80, 102-129 (1981; Zbl 0487.49027)]. This theory is sufficient to give all results of this paper in combination with some well-known topological facts.
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 897678
zbMATH Keywords: generalized gradient category
zbMATH Keywords: \(Z\)-periodic function
zbMATH Keywords: Lyusternik-Schnirelmann theorem
zbMATH Keywords: locally Lipschitzian functionals
zbMATH Keywords: critical point theory
reviewed by: Kung Ching Chang
MaRDI profile type: Publication
full work available at URL: pjaa.71.164
OpenAlex ID: W2113814468
cites work: Dual variational methods in critical point theory and applications
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cites work: Q3479242
DOI: 10.3792/PJAA.71.164
description: scientific article; zbMATH DE number 897678