Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems
type: Item
instance of: scholarly article
title: Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems
zbMATH Open document ID: 0981.58009
author: Alberto Abbondandolo
author: Juan Molina
published in: Calculus of Variations and Partial Differential Equations
publication date: 2002-03-21T00:00:00Z
review text: The authors prove an extension of the Benci and Rabinowitz's Linking Theorem for strongly indefinite functionals. Moreover they give an estimate of the relative Morse index of critical points. Such abstract results are applied to the study of the existence of periodic or homoclinic orbits of Hamiltonian systems in cases where the Palais-Smale condition does not hold.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 1563307
zbMATH Keywords: critical point theory
zbMATH Keywords: linking theorem
zbMATH Keywords: Morse index
zbMATH Keywords: Hamiltonian systems
reviewed by: Antonio Masiello
MaRDI profile type: Publication
full work available at URL: s005260000046
OpenAlex ID: W2014036447
DOI: 10.1007/S005260000046
description: scientific article; zbMATH DE number 1563307