Young measures, Cartesian maps, and polyconvexity
Bernard, Patrick; Bessi, Ugo (2010), Young measures, Cartesian maps, and polyconvexity, Journal of the Korean Mathematical Society, 47, 2, p. 331-350. 10.4134/JKMS.2010.47.2.331
TypeArticle accepté pour publication ou publié
External document linkhttps://arxiv.org/abs/0807.1684v2
Journal nameJournal of the Korean Mathematical Society
Korean Mathematical Society
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Abstract (EN)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.
Subjects / KeywordsAnalysis of PDEs; Optimization and Control
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