Monotonicity of the first Dirichlet eigenvalue of regular polygons

Joel Dahne, Javier Gómez-Serrano, Joana Pech-Alberich

In this paper we prove that the first Dirichlet eigenvalue ${\lambda }_1^N$ of an $N$-sided regular polygon of fixed area is a monotonically decreasing function of $N$ for all $N\ge 3$, a…