J. Haddad

collaborators

3 papers

math.MG2025

Centroids of sections of convex bodies and Lusternik-Schnirelmann category

Julian Haddad, C. Hugo JimÃ©nez, Rafael Villa

Given two symmetric convex bodies $L \subseteq K \subseteq R^{n}$ with $L$ strictly convex, we prove that there exist at least $n$ hyperplanes $H$ tangent to $L$ , such that the cent…

math.OC2025

Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions

Julian Haddad, Raul Fernandes Horta, Marcos Montenegro

We establish new sharp asymmetric Poincare inequalities in one-dimension with the computation of optimal constants and characterization of extremizers. Using the one-dimensional th…

math.MG2024

The lower dimensional slicing inequality for functions and related distance inequalities

J. Haddad

It was shown in [11] that for every origin-symmetric star body $K \subseteq R^{n}$ of volume $1$ , every even continuous probability density $f$ on $K$ and $1 \leq k \leq n - 1$ …