3 citations · 3 across the 6 of their papers we have counts for
6 papers
Proof of the local version of the Pólya--Szegö conjecture for the torsional rigidity of polygons
Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà
We prove the local version of the Pólya--Szegö conjecture for the torsional rigidity of polygons: for every \(n\geq5\), the regular -gon is a strict local maximizer of torsional…
Symmetry breaking in the polygonal Szegö-Weinberger inequality as : 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…
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…
Power-logconcavity of the Laplacian ground state
Graziano Crasta, Ilaria Fragalà
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…
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…
Lattice tilings minimizing nonlocal perimeters
Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga
We prove the existence of periodic tessellations of minimizing a general nonlocal perimeter functional, defined as the interaction between a set and its complement t…