Existence and multiplicity results for homogeneous second order differential equations
type: Item
instance of: scholarly article
title: Existence and multiplicity results for homogeneous second order differential equations
zbMATH Open document ID: 0808.58013
author: V. Pereyra
published in: Journal of Differential Equations
publication date: 1995-03-16T00:00:00Z
review text: This paper uses constrained critical point theory and Szulkin's version of Lyusternik-Schnirelman theory to extend some results of Lassoued on the existence of infinitely many pairs of distinct nonconstant periodic solutions for some second order differential systems of the form \[ -u'' + \nabla_ u V(t,u) = 0. \] Some results are also proved for the Neumann problem associated to a semilinear elliptic equation. They all depend on some abstract critical point theorem also given in the paper.
reviewed by: Jean Mawhin
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 635874
zbMATH Keywords: minimax theorems
zbMATH Keywords: Hamiltonian systems
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1103
OpenAlex ID: W2015597816
DOI: 10.1006/JDEQ.1994.1103
description: scientific article; zbMATH DE number 635874