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Title: The first Steklov eigenvalue on the annulus
Authors: Mannan, Mohammed
Advisors: Yang, Paul
Department: Mathematics
Class Year: 2021
Abstract: In this expository paper, we present a proof of the fact that amongst all metrics on the annulus, the maximum of 𝜎1𝐿, with 𝜎1 the first nonzero Steklov eigenvalue and 𝐿 the boundary length, is uniquely achieved by the critical catenoid. The bulk of this argument is contained in articles [1] and [2] of Fraser and Schoen.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Mathematics, 1934-2021

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