Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian

María del Mar González, Ki-Ahm Lee, Taehun Lee

We consider the following eigenvalue optimization in the composite membrane problem with fractional Laplacian: given a bounded domain $\Omega \subset {\mathbb{R}}^n$, $\alpha >0$ and $0<A<|\Omega |$,…