A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations
type: Item
instance of: scholarly article
title: A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations
zbMATH Open document ID: 0729.49002
DOI: 10.1016/S0294-1449(16)30272-4
author: Bernard Botteron
author: Paolo Marcellini
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1991-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78250
review text: The authors give a general approach to obtain the existence of minimizers for a class of one-dimensional nonparametric integrals of the calculus of variations. No assumption of coercivity is considered; the result is obtained by assuming some structure conditions on the derivatives of the integrand function. The authors give also some applications of this result to interesting problems of different type.
Mathematics Subject Classification ID: 49J05
Mathematics Subject Classification ID: 92D50
zbMATH DE Number: 4205224
zbMATH Keywords: non-coercive integrals
zbMATH Keywords: optimal foraging
zbMATH Keywords: existence of minimizers
zbMATH Keywords: one- dimensional nonparametric integrals
zbMATH Keywords: calculus of variations
reviewed by: Rosanna Schianchi
MaRDI profile type: Publication
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OpenAlex ID: W2188732236
description: scientific article; zbMATH DE number 4205224