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arXiv · 1803.01040

Potentials for $\mathcal{A}$-quasiconvexity

Bogdan Raita
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Abstract

We show that each constant rank operator $\mathcal{A}$ admits an exact potential $\mathbb{B}$ in frequency space. We use this fact to show that the notion of $\mathcal{A}$-quasiconvexity can be tested against compactly supported fields. We also show that $\mathcal{A}$-free Young measures are generated by sequences $\mathbb{B}u_j$, modulo shifts by the barycentre.

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Bogdan Raita. 2018-03-02. Potentials for $\mathcal{A}$-quasiconvexity. https://doi.org/10.1007/s00526-019-1544-x

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