36 citations · 132 across the 36 of their papers we have counts for
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Shape optimisation of the first solenoidal Maxwell eigenvalue
Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat +1
We study the minimisation of the first solenoidal Maxwell eigenvalue in perfectly conducting cavities through the scale-invariant functional $J_{\mathrm{Per…
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 inequali…
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 esta…
Optimization of Neumann Eigenvalues under convexity and geometric constraints
Beniamin Bogosel, Antoine Henrot, Marco Michetti
In this paper we study optimization problems for Neumann eigenvalues among convex domains with a constraint on the diameter or the perimeter. We work mainly in the plane, tho…
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,…
Isoperimetric sets for weighted twisted eigenvalues
Barbara Brandolini, Antoine Henrot, Anna Mercaldo +1
In tis paper we prove an isoperimetric inequality for the first twisted eigenvalue of a weighted operator, defined as the minimum of the usual Rayleigh quotient when…