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A remark on the rigidity of the first conformal Steklov eigenvalue

We show rigidity of the first conformal Steklov eigenvalue on annuli and Möbius bands. The proof relies, among others, on uniqueness results due to Fraser--Schoen, a compactness theorem of the second named author, and recent work of the authors on asymptotic control of Steklov eigenvalues in glueing constructions.

preprint2020arXivOpen access
Henrik MatthiesenRomain Petrides
math.APmath.SPmath.DG
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Henrik MatthiesenRomain Petrides

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A remark on the rigidity of the first conformal Steklov eigenvalue | BZPEER | BZPEER