2 citations · 7 across the 21 of their papers we have counts for
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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…
Isoperimetric problems related to extremal diameter graphs in 3D: theoretical and numerical aspects
Beniamin Bogosel
We study optimization problems for separable functionals of the Euclidean or spherical lengths of dual edge pairs in finite extremal unit-diameter configurations in three dimension…
Optimal Finsler-Hadwiger inequalities
Beniamin Bogosel
Various inequalities exist between the area of a triangle, the perimeter squared and the isoperimetric deficit . The direct and reverse Finsl…
Shape optimization under width constraint: the Cheeger constant and the torsional rigidity
Beniamin Bogosel
In this article it is shown that the equilateral triangle maximizes the Cheeger constant and minimizes the torsional rigidity among shapes having a fixed minimal width. The proof t…
Optimization of the Steklov-Lamé eigenvalues with respect to the domain
Beniamin Bogosel, Pedro R. S. Antunes
This work deals with theoretical and numerical aspects related to the behavior of the Steklov-Lamé eigenvalues on variable domains. After establishing the eigenstructure for the di…
On the Polygonal Faber-Krahn Inequality
Beniamin Bogosel, Dorin Bucur
It has been conjectured by Pólya and Szegö seventy years ago that the planar set which minimizes the first eigenvalue of the Dirichlet-Laplace operator among polygons with side…