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Comptes Rendus Mathématique
Volume 340, n° 1
pages 93-98 (janvier 2005)
Doi : 10.1016/j.crma.2004.11.019
Received : 2 November 2004 ;  accepted : 5 November 2004
Non-differentiable functionals and singular sets of minima
Fonctionnelles non-différentiable et lʼensembles singulier des minima
 

Jan Kristensen a , Giuseppe Mingione b
a Mathematical Institute, University of Oxford, St. Gilesʼ 24-29, Oxford OX1 3LB, UK 
b Dipartimento di Matematica, Università di Parma, via DʼAzeglio 85/a, 43100, Parma, Italy 

Abstract

We provide bounds for the Hausdorff dimension of the singular set of minima of functionals of the type  , where F is only Hölder continuous with respect to the variables  . To cite this article: J. Kristensen, G. Mingione, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.
Résumé

Nous bornons la dimension de Hausdorff de lʼensemble singulier des minima de fonctionnelles du type   oú F nʼest Hölderienne que par rapport aux la variables  . Pour citer cet article : J. Kristensen, G. Mingione, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.


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