4 papers · 1 filter
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…
On the location of the maximal gradient of the torsion function over some non-symmetric planar domains
Qinfeng Li, Shuangquan Xie, Hang Yang +1
We investigate the location of the maximal gradient of the torsion function on certain non-symmetric planar domains. First, by establishing uniform estimates for convex narrow doma…
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…
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…