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http://arks.princeton.edu/ark:/88435/dsp018336h500r| 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. |
| URI: | http://arks.princeton.edu/ark:/88435/dsp018336h500r |
| Type of Material: | Princeton University Senior Theses |
| Language: | en |
| Appears in Collections: | Mathematics, 1934-2023 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MANNAN-MOHAMMED-THESIS.pdf | 292.94 kB | Adobe PDF | Request a copy |
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