A relative variant of the Morse theory
type: Item
instance of: scholarly article
title: A relative variant of the Morse theory
zbMATH Open document ID: 1267.58009
DOI: 10.3103/S1066369X13010027
author: V. S. Klimov
published in: Russian Mathematics
publication date: 2013-04-10T00:00:00Z
review text: The standard Morse theory has been established for \(C^{1,1}\)-functionals defined on a Hilbert manifold. In the paper under review the smoothness of the functionals is reduced by one, hence the author is concerned with Morse-type results for Lipschitz functionals. The main result establishes the invariance of topological characteristics of functionals under uniform deformations. The developed results can be used for estimating the number of solutions of variational inequalities and for the study of conditions for extrema of functionals depending on a parameter.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 6152658
zbMATH Keywords: nonsmooth analysis
zbMATH Keywords: functional
zbMATH Keywords: critical value
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
cites work: Q3994616
cites work: Generalized Directional Derivatives and Subgradients of Nonconvex Functions
cites work: NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
cites work: Lusternik-Schnirelman theory on Banach manifolds
cites work: Q5643279
full work available at URL: s1066369x13010027
OpenAlex ID: W2034956392
description: scientific article; zbMATH DE number 6152658