3 papers
math.AP2026
Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry
Haiyun Deng, Changfeng Gui, Xuyong Jiang +3
In this paper, we focus primarily on the symmetry properties of the second Neumann eigenfunction with respect to the symmetry axis or symmetry center of the relevant domain …
math.AP2026
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.AP2025
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…