Large $m$ asymptotics for minimal partitions of the Dirichlet eigenvalue

Zhiyuan Geng, Fanghua Lin

In this paper, we study large $m$ asymptotics of the $l^1$ minimal $m$-partition problem for Dirichlet eigenvalue. For any smooth domain $\Omega \in {\mathbb{R}}^n$ such that $|\Omega |=1$, we p…