Young measures, Cartesian maps, and polyconvexity

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.

References in corpus (1)

• Young measures, superposition and transport

Cited by in corpus (2)

• Polygonal approximations of closed parametric varifolds
• Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity