2 papers
math.MG2025
Centroids of sections of convex bodies and Lusternik-Schnirelmann category
Julian Haddad, C. Hugo Jiménez, Rafael Villa
Given two symmetric convex bodies with strictly convex, we prove that there exist at least hyperplanes tangent to , 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…