Morse index estimates in min-max theorems
type: Item
instance of: scholarly article
title: Morse index estimates in min-max theorems
zbMATH Open document ID: 0685.58010
DOI: 10.1007/BF01171757
author: Sergio Solimini
published in: Manuscripta Mathematica
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155390
review text: Several results have been recently obtained about the possibility of determining the Morse index of a critical point found by a min-max approach. In this paper it is shown how, in correspondence with a given min-max class, one can find a critical point which satisfies some estimates (which depend on the dimension and the type of the class). The new information mainly consists in the possibility of localizing such a point and of using a suitable local compactness assumption. The answers given seem to be rather complete and to be obtained under weak assumptions.
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 4122876
zbMATH Keywords: variational methods
zbMATH Keywords: Morse index
zbMATH Keywords: critical point
zbMATH Keywords: min-max approach
MaRDI profile type: Publication
cites work: Q3717877
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OpenAlex ID: W1977656712
description: scientific article; zbMATH DE number 4122876