Monotonicity of the first nonzero Steklov eigenvalue of regular $N$-gon with fixed perimeter

Zhuo Cheng, Changfeng Gui, Yeyao Hu +2

We study the first nontrivial Steklov eigenvalue of perimeter-normalized regular \(N\)-gons and show that it is strictly increasing in \(N\). The proof mainly relies on an analytic…