Morrey's problem in ${\mathbb{R}}^{2\times 4}$ and ${\mathbb{R}}_{\mathrm{sym}}^{3\times 3}$

Andrea Agazzi, Giuseppe Bruno, André Guerra +1

We find an explicit rank-one convex non-quasiconvex integrand in ${\mathbb{R}}^{2\times 4}$: to falsify the quasiconvexity inequality, we exhibit a map ${\mathbb{T}}^4\to {\mathbb{R}}^2$…