Critical point theorem for asymptotically quadratic functional without compactness
type: Item
instance of: scholarly article
title: Critical point theorem for asymptotically quadratic functional without compactness
zbMATH Open document ID: 1194.58010
author: Zhanping Liang
author: Jiabao Su
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-20T00:00:00Z
review text: The main result of the present paper establishes an abstract critical point theorem for asymptotically quadratic functionals with lack of compactness. The proof follows after a careful analysis of Morse indices of critical points, combined with an adequate penalization technique. A central role is also played by Betti numbers created by singular relative homology groups. This result is applied to study the existence of nontrivial periodic solutions of second order Hamiltonian systems.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 5757986
zbMATH Keywords: quadratic functional
zbMATH Keywords: critical group
zbMATH Keywords: critical point
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.04.071
OpenAlex ID: W2047590251
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DOI: 10.1016/J.JMAA.2010.04.071
description: scientific article; zbMATH DE number 5757986