44 citations · 84 across the 29 of their papers we have counts for
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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 esta…
math.AP2024
The biharmonic optimal support problem
Antoine Lemenant, Mohammad Reza Pakzad
We establish a -convergence result for of a thin nonlinearly elastic 3D-plate of thickness which is assumed to be glued to a support region in the 2D-plane $x_3=0…
math.AP2024★ 2 cited
Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials
Pablo Àlvarez-Caudevilla, Matthieu Bonnivard, Antoine Lemenant
In this paper, we observe how the heat equation in a non-cylindrical domain can arise as the asymptotic limit of a parabolic problem in a cylindrical domain, by adding a potential…