On the relationship between two three-critical-point theorems
type: Item
instance of: scholarly article
title: On the relationship between two three-critical-point theorems
zbMATH Open document ID: 1242.58007
author: Francesca Faraci
author: Sunra J. N. Mosconi
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-05-04T00:00:00Z
review text: This paper deals with two recent results by Ricceri concerning the existence of multiple critical points for certain functionals defined on reflexive real Banach spaces. These abstract results are concerned with the following results: (i) existence of a local minimum and (ii) a minimax inequality together with a coercivity assumption that leads the existence of an interval of parameters such that a perturbed functional has a local, non-global minimum in the weak topology. In the paper under review it is argued that in both cases the hypotheses can be stated in terms of some elementary inequalities involving coercive sets of affine functions.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35A16
zbMATH DE Number: 6030588
zbMATH Keywords: minimax inequality
zbMATH Keywords: concave functions
zbMATH Keywords: nonlinear analysis
zbMATH Keywords: critical points
MaRDI profile type: Publication
full work available at URL: j.na.2011.09.052
OpenAlex ID: W2075720003
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DOI: 10.1016/J.NA.2011.09.052
description: scientific article; zbMATH DE number 6030588