Calculus of Variations and Geometric Measure Theory

On the relations between torsional rigidity and principal frequency

Luca Briani (Technical University of Munich)

created by brasco on 30 Jan 2022

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

Dipartimento di Matematica e Informatica, Ferrara


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.