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Young measure, Cartesian maps and polyconvexity
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version 1 april2008 |
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Authors: Patrick Bernard, Ugo Bessi.
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| Journal of the Korean Mathematical Society 47 (2010), no. 2, 331-350. | ||
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Abstract: We consider the variational problem consisting of minimizing a polyconvex integrand for maps between manifolds. We offer a simple and direct proof of the existence of a minimizing map. The proof is based on Young measures. |
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Résumé: On considère le problème variationnel consistant à minimiser un intégrand polyconvexe pour des applications entre variétés. On donne une preuve simple et directe de l’existence d’une application minimisante en utilisant les mesures d’Young. |