Critical points with lack of compactness and singular dynamical systems
type: Item
instance of: scholarly article
title: Critical points with lack of compactness and singular dynamical systems
zbMATH Open document ID: 0642.58017
DOI: 10.1007/BF01773936
author: Vittorio Coti Zelati
author: A. Ambrosetti
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1987-01-01T00:00:00Z
review text: The existence of T-periodic solutions of n-dimensional dynamical systems like \(\dots y=-\text{grad} V(t,y)\) with a T-periodic potential V having singularities is established. That result is obtained by proving a theorem concerning the existence of critical points with lack of compactness. (The Palais-Smale condition does not hold!) The existence result for the critical points uses topological properties of level sets and Morse type arguments.
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4046737
zbMATH Keywords: Morse theory
zbMATH Keywords: T-periodic solutions
zbMATH Keywords: critical points
zbMATH Keywords: lack of compactness
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01773936
OpenAlex ID: W2051805294
description: scientific article; zbMATH DE number 4046737