Ilaria Fragala

collaborators

4 papers

math.OC2026

Symmetry breaking in the polygonal Szegö-Weinberger inequality as $p \to 1^{+}$ : the longest shortest-fence quadrilateral

Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà

We consider Pólya's problem of finding, among convex sets of prescribed area, the one with the longest shortest fence, in the polygonal setting, namely when the class of competitor…

math.AP2026

Concavity and hot spots in elliptic problems under mixed boundary conditions

Dorin Bucur, Ilaria Fragalà

We consider the torsion function and the first Laplacian eigenfunction in a convex curvilinear sector in the plane, under homogeneous Neumann conditions on the two straight lateral…

math.AP2026

Power-logconcavity of the Laplacian ground state

Graziano Crasta, Ilaria Fragalà

Let $u$ be the first Dirichlet Laplacian eigenfunction of a bounded convex set $Ω$ in $R^{n}$ . We strengthen the classical result by Brascamp-Lieb which asserts that $u$ is…

math.AP2025

A note on the honeycomb optimality among periodic convex tilings

Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga

We show that the hexagonal honeycomb is optimal among convex periodic tessellations of the plane, provided the cost functional is lower semicontinuous with respect to the Hausdorff…

Symmetry breaking in the polygonal Szegö-Weinberger inequality as p→1+: the longest shortest-fence quadrilateral

Concavity and hot spots in elliptic problems under mixed boundary conditions

Power-logconcavity of the Laplacian ground state

A note on the honeycomb optimality among periodic convex tilings

Symmetry breaking in the polygonal Szegö-Weinberger inequality as $p \to 1^{+}$ : the longest shortest-fence quadrilateral