First Eigenvalue and Torsional Rigidity: Isoperimetric Inequalities for the Fractional Laplacian

Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +2

We present a fractional counterpart of a generalized Kohler-Jobin inequality, showing that, among all bounded, open sets $\hat{I}\text{c◯}\subset {\mathbb{R}}^N$ with Lipschitz boundary, having th…