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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…
math.AP2023
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…