On the number of stable local minima of some functionals
type: Item
instance of: scholarly article
title: On the number of stable local minima of some functionals
zbMATH Open document ID: 0688.49004
DOI: 10.4171/ZAA/339
author: F. Benkert
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1989-01-01T00:00:00Z
review text: The author considers functionals in which the first variable is a locally strictly monotone proper Fredholm operator of index zero. With certain assumptions it is shown that the problem of determining stable local minima of the functional is equivalent to the problem of finding solutions of the Euler equation in the region of positive second variation. Illustrating examples are given.
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 4127939
zbMATH Keywords: strictly monotone
zbMATH Keywords: Fredholm operator of index zero
reviewed by: Ernst G. Al'brekht
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4127939