Extremality conditions and regularity of solutions to optimal partition problems involving Laplacian eigenvalues

Miguel Ramos, Hugo Tavares, Susanna Terracini

Let $\Omega \subset {\mathbb{R}}^N$ be an open bounded domain and $m\in \mathbb{N}$. Given $k_1,\dots ,k_m\in \mathbb{N}$, we consider a wide class of optimal partition problems involving…