Special Session 26: Nonlinear partial differential equations and their applications
Eventual monotonicity of the first nonzero Steklov eigenvalue for perimeter-normalized regular N-gons
Yeyao Hu
Central South University
Peoples Rep of China
Co-Author(s):    Zhuo Cheng, Changfeng Gui, Qinfeng Li, Ruofei Yao
Abstract:
In this talk, we show that the first nonzero Steklov eigenvalue of the regular N-gon with fixed perimeter is strictly increasing as N increases, provided that N is sufficiently large; for instance, this holds for N greater than or equal to 20. The talk is based on joint work with Zhuo Cheng (CSU), Changfeng Gui (University of Macau), Qinfeng Li (HNU), and Ruofei Yao (SCUT).
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