Young measures, Cartesian maps, and polyconvexity
Optimization and Control
2010-07-28 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.0807.1684,
title = {Young measures, Cartesian maps, and polyconvexity},
author = {Patrick Bernard and Ugo Bessi},
journal= {arXiv preprint arXiv:0807.1684},
year = {2010}
}