Thumbnail - No thumbnail

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

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/0807.1684v2
Date
2010
Journal name
Journal of the Korean Mathematical Society
Volume
47
Number
2
Publisher
Korean Mathematical Society
Pages
331-350
Publication identifier
Metadata
Show full item record
Author(s)
Bernard, Patrick cc
Bessi, Ugo
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 / Keywords
Analysis of PDEs; Optimization and Control