Minimizing a functional depending on \(\nabla u\) and on \(u\)
type: Item
instance of: scholarly article
title: Minimizing a functional depending on \(\nabla u\) and on \(u\)
zbMATH Open document ID: 0876.49001
DOI: 10.1016/S0294-1449(97)80140-0
author: Arrigo Cellina
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1997-11-25T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78414
review text: The author proves existence of solutions for a class of minimum problems of the calculus of variations where the integrand depends both on \(\nabla u\) and \(u\) and no convexity assumption is made with respect to the variable \(\nabla u\).
Mathematics Subject Classification ID: 49J10
zbMATH DE Number: 1019553
zbMATH Keywords: existence of solutions
zbMATH Keywords: minimum problems
reviewed by: Rosanna Schianchi
MaRDI profile type: Publication
cites work: On minima of a functional of the gradient: sufficient conditions
cites work: On minima of radially symmetric functionals of the gradient
cites work: Q4856861
cites work: A Version of Olech’s Lemma in a Problem of the Calculus of Variations
cites work: An Existence Result in a Problem of the Vectorial Case of the Calculus of Variations
cites work: Existence of minimizers for non-quasiconvex integrals
cites work: Q3029673
cites work: A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems
cites work: Q4040640
cites work: Numerical study of a relaxed variational problem from optimal design
cites work: Analysis and numerical studies of a problem of shape design
cites work: Optimal design and relaxation of variational problems, I
cites work: Existence theorems for non convex problems
cites work: Sur une Classe de Fonctionnelles non Convexes et Applications
cites work: Théorèmes d'existence en calcul des variations et applications à l'élasticité non linéaire
OpenAlex ID: W2056316058
description: scientific article; zbMATH DE number 1019553