Some remarks on critical sets of Laplace eigenfunctions
Judge, C. and Mondal, S. Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/s40316-024-00240-9 Abstract/SummaryWe study the set of critical points of a solution to Delta u = lambda u, and in particular components of the critical set that have co-dimension 1. We show, for example, that if a second Neumann eigenfunction of a simply connected polygon P has infinitely many critical points, then P is a rectangle.
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