Lipschitz regularity of the eigenfunctions on optimal domains

Dorin Bucur, Dario Mazzoleni, Aldo Pratelli +1

We study the optimal sets ${\Omega }^{\ast }\subset {\mathbb{R}}^d$ for spectral functionals $F({\lambda }_1(\Omega ),\dots ,{\lambda }_p(\Omega ))$, which are bi-Lipschitz with respect to each of the eigenvalues $λ_1…