Giuseppe Bruno

activity

20242026

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math.AP2026

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

Andrea Agazzi, Giuseppe Bruno, André Guerra +1

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

math.AP2026

Quasiconvexity for the Dacorogna--Marcellini Energy

Giuseppe Bruno, Federico Pasqualotto

We prove that the planar Dacorogna--Marcellini energy $f_{γ} (A) = ∣ A ∣^{4} - 2 γ ∣ A ∣^{2} det A$ is quasiconvex exactly when it is rank-one convex, i.e. if and only if $∣ γ ∣ \leq \frac{2}{3}$ .…

Morrey's problem in R2×4 and Rsym3×3​

Quasiconvexity for the Dacorogna--Marcellini Energy

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