3 papers
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.OC2025
Optimal sets for the quantitative isoperimetric inequality in the plane with the barycentric distance
Gisella Croce, Antoine Henrot
In a recent paper, C. Gambicchia and A. Pratelli proved a quantitative isoperimetric inequality involving the isoperimetric deficit and the barycentric distance f…
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…