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math.AP2026
Quantitative characterization of deviations from the hot spots conjecture on convex domains in two-dimensional space forms
Haiyun Deng, Xuyong Jiang, Xiaoping Yang
In this paper, we study critical points of second Neumann eigenfunctions on convex domains in two-dimensional space forms from three complementary perspectives: spectral and geomet…
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…