3 papers
math.AP2026
Concavity and hot spots in elliptic problems under mixed boundary conditions
Dorin Bucur, Ilaria FragalÃ
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 FragalÃ
Let be the first Dirichlet Laplacian eigenfunction of a bounded convex set in . We strengthen the classical result by Brascamp-Lieb which asserts that is…
math.AP2025
A note on the honeycomb optimality among periodic convex tilings
Annalisa Cesaroni, Ilaria FragalÃ, 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…