Zakaria Fattah

activity

20182026

collaborators

3 papers

math.OC2026

Blaschke--Santal{ó} diagram for the volume, the diameter, and the Cheeger constant

Zakaria Fattah

We study the Blaschke--Santal{ó} diagram associated with the volume, the diameter, and the Cheeger constant. In the class of bounded open subsets of $R^{m}$ , $m \geq 2$ , we gi…

math.OC2021

A reverse isoperimetric inequality for planar ( $α$ , $β$ )--convex bodies

Gisella Croce, Zakaria Fattah, Giovanni Pisante

In this paper, we study a reverse isoperimetric inequality for planar convex bodies whose radius of curvature is between two positive numbers 0 < $α$ < $β$ , called ( $α$ , $β$ )--conv…

math.SP2018

Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter

Zakaria Fattah, Mohamed Berrada

This paper is about a shape optimization problem related to the Dirichlet Laplacian eingevalues in the Euclidean plane. More precisely we study the shape of the minimizer in the cl…

Blaschke--Santal{ó} diagram for the volume, the diameter, and the Cheeger constant

A reverse isoperimetric inequality for planar (α, β)--convex bodies

Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter

A reverse isoperimetric inequality for planar ( $α$ , $β$ )--convex bodies