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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We show that, if formula19 is rank-1 convex on the hyperboloid formula21, formula23, formula25 is the set of formula27 real symmetric matrices, then f can be approximated by quasiconvex functions on formula31 uniformly on compact subsets of formula33. Equivalently, every gradient Young measure supported on a compact subset of formula33 is a laminate.

27.01.2018, 01:41