Seminari del Dipartimento di Matematica

Seminario del 2018

Geometric estimates for Poincaré constants in convex sets

analisi matematica

In this talk, we show some estimates of the Poincaré constant on a convex set in terms of geometric quantities: inradius, diameter, perimeter, Cheeger constant and so on. We deal with the case of Poincaré inequalities for functions vanishing at the boundary, as well as for zero-mean functions.