Automatic convexity of rank-1 convex functions

Kirchheim, Bernd; Kristensen, Jan

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

Kirchheim, Bernd ¹ ; Kristensen, Jan ¹

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

Comptes Rendus. Mathématique, Tome 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 :

Kirchheim, Bernd ¹ ; Kristensen, Jan ¹

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

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Kirchheim, Bernd; Kristensen, Jan. Automatic convexity of rank-1 convex functions. Comptes Rendus. Mathématique, Tome 349 (2011) no. 7-8, pp. 407-409. doi : 10.1016/j.crma.2011.03.013. http://www.numdam.org/articles/10.1016/j.crma.2011.03.013/

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