On some functionals involving torsional rigidity, principal eigenvalue and perimeter

Vincenzo Amato, Carlo Nitsch, Cristina Trombetti +1

In this paper we study some relationships between the first Dirichlet eigenvalue $\hat{I}›(\hat{I}\text{c◯})$ and the torsional rigidity $T(\hat{I}\text{c◯})$ of a domain $\hat{I}\text{c◯}$. We consider the problem of optimizing…