Duality for non-convex variational problems
type: Item
instance of: scholarly article
title: Duality for non-convex variational problems
zbMATH Open document ID: 1314.49022
author: Ilaria Fragalà
author: Guy Bouchitté
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2015-04-13T00:00:00Z
review text: A new duality theory is proposed for a classical problem of the calculus of variations where the integrand is a lower semicontinuous function (satisfying suitable growth conditions) which is not necessarily convex in the first variable. Examples of such problems are provided, too. The newly introduced dual problem can be reformulated as a linear programming problem and its solvability can be directly achieved in the one-dimensional case and, under additional hypotheses, also in higher dimensions. Optimality conditions are delivered, too. Hints towards applications to phase transition and free-boundary problems are given as well.
reviewed by: Sorin-Mihai Grad
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C08
zbMATH DE Number: 6424593
zbMATH Keywords: non-convex variational problems
zbMATH Keywords: duality
zbMATH Keywords: linear programming
MaRDI profile type: Publication
full work available at URL: j.crma.2015.01.014
OpenAlex ID: W1968297248
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DOI: 10.1016/J.CRMA.2015.01.014
description: scientific article; zbMATH DE number 6424593