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math.SP2022
Flat tori with large Laplacian eigenvalues in dimensions up to eight
Chiu-Yen Kao, Braxton Osting, Jackson C. Turner
We consider the optimization problem of maximizing the -th Laplacian eigenvalue, , over flat -dimensional tori of fixed volume. For , this problem is equivalent t…
math.SP2021
Steklov Eigenvalues of Nearly Spherical Domains
Robert Viator, Braxton Osting
We consider Steklov eigenvalues of three-dimensional, nearly-spherical domains. In previous work, we have shown that the Steklov eigenvalues are analytic functions of the domain pe…
math.SP2020★ 3 cited
Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems
Chiu-Yen Kao, Braxton Osting, Èdouard Oudet
Recently Fraser and Schoen showed that the solution of a certain extremal Steklov eigenvalue problem on a compact surface with boundary can be used to generate a free boundary mini…