Lusternik-Schnirelman category theory on closed subsets of Banach manifolds
type: Item
instance of: scholarly article
title: Lusternik-Schnirelman category theory on closed subsets of Banach manifolds
zbMATH Open document ID: 0709.58012
DOI: 10.1016/0022-247X(90)90051-G
author: Tixiang Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: The first part of the paper contains a result on the existence of pseudogradient vector fields for a \(C^ 2\)-real valued function on a closed subset of a \(C^ 2\)-Banach manifold. The author uses this result to prove an extension of Palais' existence theorem for the minimization problem. In the second part the author extends Lusternik-Schnirelman category theory on Banach manifolds to closed subsets of them, enunciating several results related with this. He finishes the paper studying the geodesic problem.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 58E10
zbMATH DE Number: 4166099
zbMATH Keywords: closed subsets
zbMATH Keywords: pseudogradient
zbMATH Keywords: minimization problem
zbMATH Keywords: Lusternik- Schnirelman category theory on Banach manifolds
zbMATH Keywords: geodesic problem
MaRDI profile type: Publication
cites work: Q5646155
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description: scientific article; zbMATH DE number 4166099