Critical groups of pairs of critical points produced by linking subsets
type: Item
instance of: scholarly article
title: Critical groups of pairs of critical points produced by linking subsets
zbMATH Open document ID: 0889.58025
published in: Journal of Differential Equations
publication date: 1998-06-29T00:00:00Z
review text: Linking of sets plays an important role in a wide variety of problems in the calculus of variations. The author proves near to \textit{M. Schechter} and \textit{K. Tintarev} [Bull. Soc. Math. Belg. 44, 249-261 (1992; Zbl 0785.58017)] a result about the critical points existence of \(F\in C(X,\mathbb{R})\) \((X\) is a Banach space) for homologically linking sets and shows that a certain critical group of each critical point is nontrivial.
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 1080201
zbMATH Keywords: linking subsets
zbMATH Keywords: critical points
author: Kanishka Perera
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2040591608
DOI: 10.1006/JDEQ.1997.3309
description: scientific article; zbMATH DE number 1080201