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math.AP2022
Some remarks on critical sets of Laplace eigenfunctions
Chris Judge, Sugata Mondal
We study the set of critical points of a solution to and in particular components of the critical set that have codimension 1. We show, for example, that if a secon…
math.AP2021
Critical points of Laplace eigenfunctions on polygons
Chris Judge, Sugata Mondal
We study the critical points of Laplace eigenfunctions on polygonal domains with a focus on the second Neumann eigenfunction. We show that if each convex quadrilaterals has no seco…