On a Cheeger--Kohler-Jobin inequality

Ilaria Lucardesi, Dario Mazzoleni, Berardo Ruffini

We discuss the minimization of a Kohler-Jobin type scale-invariant functional among open, convex, bounded sets, namely $\min T_2(\Omega {)}^{\frac{1}{N+2}}{h}_1(\Omega )$ among open convex bounde…