

Preprint 68/2002
Rank-one convexity implies quasiconvexity on certain hypersurfaces
Nirmalendu Chaudhuri and Stefan Müller
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Submission date: 09. Aug. 2002
Pages: 12
published in: Proceedings of the Royal Society of Edinburgh / A, 133 (2003) 6, p. 1263-1272
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Abstract:
We show that, if
is rank-1 convex on the hyperboloid
,
,
is
the set of
real symmetric matrices, then f can be approximated by
quasiconvex functions on
uniformly on compact subsets
of
. Equivalently, every gradient Young measure supported on a compact
subset of
is a laminate.