A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
type: Item
instance of: scholarly article
title: A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
zbMATH Open document ID: 0774.49021
author: Robert Deville
author: Gilles Godefroy
author: V. Zizler
published in: Journal of Functional Analysis
publication date: 1993-06-29T00:00:00Z
review text: A very general variational principle (on the strong minimum of \(f+g\), with \(f\) Lipschitz-continuous and \(g\) smooth) on a Banach space is given. Then the authors prove that the Ekeland variational principle (as well as other variational principles) are included in their principle. In the last part of the paper, applications to viscosity solutions in infinite- dimensional Banach spaces, are given.
Mathematics Subject Classification ID: 49L25
zbMATH DE Number: 220691
zbMATH Keywords: variational principle
zbMATH Keywords: viscosity solutions
zbMATH Keywords: infinite-dimensional Banach spaces
reviewed by: N. H. Pavel
MaRDI profile type: Publication
full work available at URL: jfan.1993.1009
OpenAlex ID: W2091575104
DOI: 10.1006/JFAN.1993.1009
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description: scientific article; zbMATH DE number 220691