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arXiv · 1812.06689

Extremal rank-one convex integrands and a conjecture of \v{S}ver\'ak

André Guerra
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Abstract

We show that in order to decide whether a given probability measure is laminate it is enough to verify Jensen's inequality in the class of extremal non-negative rank-one convex integrands. We also identify a subclass of these extremal integrands, consisting of truncated minors, thus proving a conjecture made by \v{S}ver\'ak in (Arch. Ration. Mech. Anal. 119 293-300, 1992).

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André Guerra. 2018-12-17. Extremal rank-one convex integrands and a conjecture of \v{S}ver\'ak. https://doi.org/10.1007/s00526-019-1646-5

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