Publications

List of publications/preprints

Geometric properties of optimizers for the maximum gradient of the torsion function. Krzysztof Burdzy, Ilias Ftouhi and Phanuel Mariano. Submitted (2025).
Sensor placement via large deviations in the eikonal equation. Ilias Ftouhi and Enrique Zuazua. Submitted (2025).
A reverse isoperimetric inequality for the Cheeger constant under width constraint. Ilias Ftouhi, Ilaria Lucardesi and Giorgio Saracco. Published in Communications in Contemporary Mathematics (2025).
Optimal L^p approximations of convex set by convex subsets. Zakaria Fattah, Ilias Ftouhi and Enrique Zuazua. Published in Nonlinear Analysis (2025).
The monotonicity of the Cheeger constant for Parallel Bodies. Ilias Ftouhi. Published in Journal of Optimization Theory and Applications (2025).
Improved description of Blaschke–Santaló diagrams via numerical shape optimization. Ilias Ftouhi. Published in Applied Mathematics and Optimization (2025).
Sharp inequalities involving the Cheeger constant of planar convex sets. Ilias Ftouhi, Alba Lia Masiello and Gloria Paoli. Published in ESAIM Control and Calculus of Variations (2024).
Optimal design of sensors via geometric criteria. Ilias Ftouhi and Enrique Zuazua. Published in Journal of Geometric Analysis (2023).
Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains. Ilias Ftouhi. Published in Communications in Contemporary Mathematics (2022).
The diagram (λ_1, µ_1). Ilias Ftouhi and Antoine Henrot. Published in Mathematical Reports for the special issue of the 60th birthday of Marius Tucsnak (2022).
Where to place a spherical obstacle so as to maximize the first Steklov eigenvalue. Ilias Ftouhi. Published in ESAIM Control and Calculus of Variations (2022).
On the Cheeger inequality for convex sets. Ilias Ftouhi. Published in Journal of Mathematical Analysis and Applications (2021).
On a Polya's inequality for planar convex sets. Ilias Ftouhi. Published in Comptes Rendus de l’Académie des Sciences (2021).
Blaschke –Santaló diagram for volume, perimeter and first Dirichlet eigenvalue. Ilias Ftouhi and Jimmy Lamboley. Published in SIAM Journal on Mathematical Analysis (2021).