Quasiconvexity is not invariant under transposition

Stefan Müller

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Submission date: 18. Jun. 1998
Pages: 9
published in: Proceedings of the Royal Edinburgh Society / A, 130 (2000) 2, p. 389-395 
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Abstract:
An example is given of a quasiconvex such that the transposed function given by is not quasiconvex. For one can take Sverák's quartic polynomial that is rank-one convex but not quasiconvex. The proof is closely related to the observation that the map is weakly continuous from into distributions provided that is compact in .