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math.AP2021
A comparison between Neumann and Steklov eigenvalues
Antoine Henrot, Marco Michetti
This paper is devoted to a comparison between the normalized first (non-trivial) Neumann eigenvalue for a Lipschitz open set in the plane, and the normalized first…
math.OC2021
A Poincaré type inequality with three constraints
Gisella Croce, Antoine Henrot
In this paper, we consider a problem in calculus of variations motivated by a quantitative isoperimetric inequality in the plane. More precisely, the aim of this article is the com…