4 citations · 4 across the 5 of their papers we have counts for
7 papers
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…
About the Blaschke-Santalo diagram of area, perimeter and moment of inertia
Raphael Gastaldello, Antoine Henrot, Ilaria Lucardesi
We study the Blaschke-Santaló diagram associated to the area, the perimeter, and the moment of inertia. We work in dimension 2, under two assumptions on the shapes: convexity and t…
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…
Optimal concavity of the torsion function
A. Henrot, C. Nitsch, P. Salani +1
In this short note we consider an unconventional overdetermined problem for the torsion function: let and be a bounded open set in whose torsion functi…
Elasticae and inradius
Antoine Henrot, Othmane Mounjid
The elastic energy of a planar convex body is defined by $E(\Om)=\frac 12\,\int\_{\partial\Om} k^2(s)\,ds$where is the curvature of the boundary. In this paper we are intere…
Elastic energy of a convex body
Chiara Bianchini, Antoine Henrot, Takeo Takahashi
In this paper a Blaschke-Santaló diagram involving the area, the perimeter and the elastic energy of planar convex bodies is considered. More precisely we give a description of set…