Bifurcation of homoclinic solutions for Hamiltonian systems
type: Item
instance of: scholarly article
title: Bifurcation of homoclinic solutions for Hamiltonian systems
zbMATH Open document ID: 1028.37034
DOI: 10.4171/ZAA/1121
author: Yanyan Li
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2004-01-15T00:00:00Z
review text: Summary: We consider the Hamiltonian system \[ Ju'(x)+ Mu(x)- \nabla_uF\bigl(x,u(x) \bigr)=\lambda u(x). \] Using variational methods obtained by Stuart on the one hand and by Giacomoni and Jean-jean on the other, we get bifurcation results for homoclinic solutions by imposing conditions on the function \(F\). We study both the case where \(F\) is defined globally with respect to \(u\) and the case where \(F\) is defined locally only.
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J45
zbMATH DE Number: 1925963
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: variational methods
zbMATH Keywords: bifurcation
zbMATH Keywords: homoclinic solutions
Wikidata QID: Q119521013
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1925963