Beniamin Bogosel

activity

20162026

most citedA Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results

23 citations · 41 across the 30 of their papers we have counts for

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3 papers · 1 filter

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.OC2025

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.AP2025

Optimisation of space-time periodic eigenvalues

Beniamin Bogosel, Idriss Mazari-Fouquer, Grégoire 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 $…