Automatic convexity of rank-1 convex functions

Bernd Kirchheim; Jan Kristensen

doi:10.1016/j.crma.2011.03.013

Partial Differential Equations/Calculus of Variations

Automatic convexity of rank-1 convex functions
[Convexité automatique de fonctions convexes de rang 1]

Présenté par : Philippe G. Ciarlet

Bernd Kirchheim ¹ ; Jan Kristensen ¹

¹ Mathematical Institute, University of Oxford, 24–29 St. Gilesʼ, Oxford OX1 3LB, UK

Comptes Rendus. Mathématique, Volume 349 (2011) no. 7-8, pp. 407-409.

Résumé
Abstract

Nous présentons de nouvelles propriétés structurelles de fonctions convexes de rang 1 et 1-homogènes, ainsi que certaines conséquences.

We announce new structural properties of 1-homogeneous rank-1 convex integrands, and discuss some of their consequences.

Reçu le : 2010-12-03
Accepté le : 2011-03-14
Publié le : 2011-03-29

DOI : 10.1016/j.crma.2011.03.013

Affiliations des auteurs :

Bernd Kirchheim ¹ ; Jan Kristensen ¹

¹ Mathematical Institute, University of Oxford, 24–29 St. Gilesʼ, Oxford OX1 3LB, UK

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     title = {Automatic convexity of rank-1 convex functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {407--409},
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     year = {2011},
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     language = {en},
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Bernd Kirchheim; Jan Kristensen. Automatic convexity of rank-1 convex functions. Comptes Rendus. Mathématique, Volume 349 (2011) no. 7-8, pp. 407-409. doi : 10.1016/j.crma.2011.03.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.03.013/

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Cité par Sources :

^☆ Work supported by EPSRC Science and Innovation Award EP/E035027/1.

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