Rank-one convexity implies quasi-convexity on certain hypersurfaces
Published online by Cambridge University Press: 12 July 2007
Abstract
We show that, if f : M2×2 → R is rank-one convex on the hyperboloid is the set of 2 × 2 real symmetric matrices, then f can be approximated by quasi-convex functions on M2×2 uniformly on compact subsets of
. Equivalently, every gradient Young measure supported on a compact subset of
is a laminate.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 6 , December 2003 , pp. 1263 - 1272
- Copyright
- Copyright © Royal Society of Edinburgh 2003
- 5
- Cited by