3 citations · 3 across the 5 of their papers we have counts for
5 papers
Symmetry and critical points of second Neumann eigenfunctions on isosceles trapezoids and kites
Haiyun Deng, Changfeng Gui, Xuyong Jiang +3
We classify the symmetry and multiplicity of the second Neumann eigenvalue on isosceles trapezoids and kites as the height varies. Precisely, away from a unique transition height,…
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…
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…
On location of maximum of gradient of torsion function
Qinfeng Li, Ruofei yao
It has been a widely belief that for a planar convex domain with two coordinate axes of symmetry, the location of maximal norm of gradient of torsion function is either linked to c…
On Laplacian eigenvalue equation with constant Neumann boundary data
Yong Huang, Qinfeng Li, Qiuqi Li +1
Let be a bounded Lipshcitz domain in and we study boundary behaviors of solutions to the Laplacian eigenvalue equation with constant Neumann data. \begin{align}…