Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems
type: Item
instance of: scholarly article
title: Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems
zbMATH Open document ID: 1162.49007
published in: Calculus of Variations and Partial Differential Equations
publication date: 2007-02-14T00:00:00Z
review text: A complete metric space \({\mathcal M}\) of functions, which satisfy a growth condition common in the literature and are Lipschitzian on bounded sets, is considered. The nonoccurrence of the Lavrentiev phenomenon for most elements of \({\mathcal M}\), in the sense of Baire category, is established.
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 5126706
zbMATH Keywords: Banach space
zbMATH Keywords: Integrand
zbMATH Keywords: Lavrentiev phenomenon
zbMATH Keywords: Variational problem
author: Alexander J. Zaslavski
reviewed by: Stefan Balint
MaRDI profile type: Publication
full work available at URL: s00526-006-0047-8
OpenAlex ID: W2079628264
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DOI: 10.1007/S00526-006-0047-8
description: scientific article; zbMATH DE number 5126706