3 papers
math.DG2021
Minkowski inequality for nearly spherical domains
Federico Glaudo
We investigate the validity and the stability of various Minkowski-like inequalities for -perturbations of the ball. Let be a domain (possibly not conv…
math.AP2020
Sharp quantitative stability for isoperimetric inequalities with homogeneous weights
Eleonora Cinti, Federico Glaudo, Aldo Pratelli +2
We prove the sharp quantitative stability for a wide class of weighted isoperimetric inequalities. More precisely, we consider isoperimetric inequalities in convex cones with homog…
math.OC2018
On the c-concavity with respect to the quadratic cost on a manifold
Federico Glaudo
Pushing a little forward an approach proposed by Villani, we are going to prove that in the Riemannian setting the condition implies that is -concave with re…