Gabriele Cassese

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math.AP2026

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

Gabriele Cassese

We construct, for any $p \in (1, \infty)$ , $p$ -homogeneous rank-one convex integrands $F : R^{2 \times m} \to R$ that are nowhere quasiconvex when $m$ is large. When…

math.AP2026

Korn's inequality from the viewpoint of calculus of variations

Gabriele Cassese

We study the best possible constants in Korn-type inequalities and their connection with Morrey's problem in the calculus of variations. We adapt techniques from the analysis of th…

math.AP2025

Martingales, laminates and minimal Korn inequalities

Gabriele Cassese

Korn's inequalities show that the $L^{2}$ -norm of $\nabla u$ can be controlled by the $L^{2}$ -norm of $Sym (\nabla u)$ , which only has $d (d + 1) /2$ components. In [J. Math. Pures…

A solution to Morrey's problem in R2×m

Korn's inequality from the viewpoint of calculus of variations

Martingales, laminates and minimal Korn inequalities

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