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Recent advances in Geometric Analysis

Geometric estimates for Poincaré constants in convex sets

speaker: Lorenzo Brasco (Università di Ferrara)

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

timetable:
Thu 7 Jun, 11:30 - 12:30, Aula Dini
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