31 jan 2022 -- 14:00 [open in google calendar]

Dipartimento di Matematica e Informatica, Ferrara

**Abstract.**

We consider the minimization-maximization problem of the product $T_p(\Omega)\lambda_p(\Omega)$, where $\Omega$ varies among different classes of admissible sets. Here $T_p$ and $\lambda_p$ denote respectively the $p$-torsional rigidity and the $p-$principal frequency associated to the $p-$Laplace operator. We present some new results in the case $p\neq 2$ and we list some interesting open problems.