Author

Gabriele Cassese

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Preprint Aug 2026

A solution to Morrey's problem in $\mathbb{R}^{2\times m}$

We construct, for any exponent $p\in(1,\infty)$, $p$-homogeneous rank-one convex integrands $F\colon \mathbb{R}^{2\times m}\to \mathbb{R}$ that are nowhere quasiconvex when $m$ is large. When $p$ is sufficiently close to $4$, such examples can be constructed on $\mathbb{R}^{2\times 3}$: for $p=4$, our example is an exp...

Gabriele Cassese · 0 citations

Preprint Aug 2026

A solution to Morrey's problem in $\mathbb{R}^{2\times m}$

We construct, for any $p\in(1,\infty)$, $p$-homogeneous rank-one convex integrands $F\colon\mathbb R^{2\times m}\to \mathbb R$ that are nowhere quasiconvex when $m$ is large. When $p$ is sufficiently close to $4$, such examples can be constructed on $\mathbb R^{2\times 4}$. Related constructions give, for every $p$, co...

Gabriele Cassese · 0 citations