36 citations · 132 across the 36 of their papers we have counts for
4 papers · 1 filter
Hyperbolic solutions to Bernoulli's free boundary problem
Antoine Henrot, Michiaki Onodera
Bernoulli's free boundary problem is an overdetermined problem in which one seeks an annular domain such that the capacitary potential satisfies an extra boundary condition. There…
Improved Bounds for Hermite-Hadamard Inequalities in Higher Dimensions
Thomas Beck, Barbara Brandolini, Krzysztof Burdzy +5
Let be a convex domain and let be a positive, subharmonic function (i.e. ). Then $$ \frac{1}{|Ω|} \int_Ω{f dx} \leq \…
From Steklov to Neumann via homogenisation
Alexandre Girouard, Antoine Henrot, Jean Lagacé
We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodic…
On the quantitative isoperimetric inequality in the plane with the barycentric distance
Chiara Bianchini, Gisella Croce, Antoine Henrot
In this paper we study the following quantitative isoperimetric inequality in the plane: where is the isoperimetric deficit and is the barycentric…