Gabriele Cassese

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math.AP2026

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

Gabriele Cassese

We construct homogeneous rank-one convex integrands $F : R^{2 \times m} \to R$ that are nowhere quasiconvex when $m$ is large.

math.AP2026

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…

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…

A solution to Morrey's problem in R2×m

Martingales, laminates and minimal Korn inequalities

Korn's inequality from the viewpoint of calculus of variations

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