Young measures, Cartesian maps, and polyconvexity

Details Young measures, Cartesian maps, and polyconvexity Young measures, Cartesian maps, and polyconvexity

2008-07-10

arxiv.org/abs/0807.1684v2

Journal of the Korean Mathematical Society 47, 2 (2010) 331-350

Mathematics

Optimization and Control

Scientific paper

10.4134/JKMS.2010.47.2.331

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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