Showing math.APShow all
3 papers · 1 filter
math.AP2026
Symmetry and critical points of second Neumann eigenfunctions on isosceles trapezoids and kites
Haiyun Deng, Changfeng Gui, Xuyong Jiang +3
In this paper, we determine the symmetry properties and non-vertex critical points of the second Neumann eigenfunction , as well as the multiplicity of the corresponding eigenva…
math.AP2024
Monotonicity of positive solutions to semilinear elliptic equations with mixed boundary conditions in triangles
Rui Li, Ruofei Yao
We study positive solutions of semilinear elliptic equations in a planar triangular domain under mixed boundary conditions, consisting of homogeneous Dirichlet boundary conditions…
math.AP2023
Uniqueness of critical points of the second Neumann eigenfunctions on triangles
Hongbin Chen, Changfeng Gui, Ruofei Yao
This paper investigates the second Neumann eigenfunction of a planar triangle . In a recent paper by Judge and Mondal [Ann. Math., 2022], it was shown that has no critic…