On the relations between torsional rigidity and principal frequency


Luca Briani, Univ Pisa, Italy. 14 avril 2022 13:30 edp 2:00:00
Abstract:

We consider the minimization/maximization problem of the product Tp(Ω)λp(Ω), where Ω varies among different classes of admissible sets. Here Tp and λp 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≠2 and we list some interesting open problems.