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math.AP2026
Quantitative Kröger inequalities for Neumann eigenvalues of convex domains
Dorin Bucur, Andrea Gentile, Antoine Henrot
Refining the sharp upper bounds obtained by Kröger (1999) for the -th Neumann eigenvalue of a convex domain , we prove the following inequ…
math.AP2024
Minimization of the first eigenvalue for the Lamé system
Antoine Henrot, Antoine Lemenant, Yannick Privat
In this article, we address the problem of determining a domain in that minimizes the first eigenvalue of the Lamé system under a volume constraint. We begin by est…
math.AP2024
Is the Faber-Krahn inequality true for the Stokes operator?
Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat
The goal of this paper is to investigate the minimisation of the first eigenvalue of the (vectorial) incompressible Dirichlet-Stokes operator. After providing an existence result,…