Beniamin Bogosel

activity

20242026

collaborators

5 papers

math.OC2026

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…

math.OC2025

Optimal Finsler-Hadwiger inequalities

Beniamin Bogosel

Various inequalities exist between the area of a triangle, the perimeter squared $(a + b + c)^{2}$ and the isoperimetric deficit $Q = (a - b)^{2} + (b - c)^{2} + (c - a)^{2}$ . The direct and reverse Finsl…

math.AP2025

Optimisation of space-time periodic eigenvalues

Beniamin Bogosel, Idriss Mazari-Fouquer, GrÃ©goire Nadin

The goal of this paper is to provide a qualitative analysis of the optimisation of space-time periodic principal eigenvalues. Namely, considering a fixed time horizon $T$ and the $…

math.MG2024

New variational arguments regarding the Blaschke-Lebesgue theorem

Beniamin Bogosel

The sensitivity of the areas of Reuleaux polygons and disk polygons is computed with respect to vertex perturbations. Computations are completed for both constrained and Lagrangian…

math.NA2024

Polygonal Faber-Krahn inequality: Local minimality via validated computing

Beniamin Bogosel, Dorin Bucur

The main result of the paper shows that the regular $n$ -gon is a local minimizer for the first Dirichlet-Laplace eigenvalue among $n$ -gons having fixed area for $n \in {5, 6}$ . Th…