3 papers
math.AP2026
Monotonicity of the first nonzero Steklov eigenvalue of regular -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…
math.AP2026
Symmetry properties for positive solutions of mixed boundary value problems in a sub-spherical sector
Ruofei Yao
In this paper, we investigate the symmetry properties of positive solutions to a semilinear elliptic equation under mixed Dirichlet-Neumann boundary conditions in symmetric dom…
math.AP2025
Monotonicity properties of the Robin torsion function in a class of symmetric planar domains
Qinfeng Li, Juncheng Wei, Ruofei Yao
We prove the monotonicity property of the Robin torsion function in a smooth planar domain with a line of symmetry, provided that the Robin coefficient is greater than or e…