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On the integral representation of relaxed functionals with convex bounded constraints

Published online by Cambridge University Press:  21 October 2008

Omar Anza Hafsa
Omar Anza Hafsa*
Affiliation:
Université Montpellier II, UMR-CNRS 5508, LMGC, Place Eugène Bataillon, 34090 Montpellier, France. Omar.Anza-Hafsa@univ-montp2.fr
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Abstract

We study the integral representation of relaxed functionals in the multi-dimensional calculus of variations, for integrands which are finite in a convex bounded set with nonempty interior and infinite elsewhere.

Keywords

Relaxationconvex constraintsintegral representation
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 1 , January 2010 , pp. 37 - 57
Copyright
© EDP Sciences, SMAI, 2008

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