Some new inequalities for the Cheeger constant
Apparaît dans la collection : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnelles
We discuss some new results for the Cheeger constant in dimension two, including: - a polygonal version of Faber-Krahn inequality; - a reverse isoperimetric inequality for convex bodies; - a Mahler-type inequality in the axisymmetric setting; - asymptotic behaviour of optimal partition problems. Based on some recent joint works with D.Bucur, and for the last part also with B.Velichkov and G.Verzini.
