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arXiv · 1410.2221

Eigenvalue maximization for surfaces of revolution with prescribed boundary

Sinan Ariturk
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Abstract

Fix two parallel circles in $\mathbb{R}^3$ centered about a common axis. Among surfaces of revolution immersed in $\mathbb{R}^3$ whose boundary is given by these circles, there is one which maximizes the first Dirichlet eigenvalue. If the circles are sufficiently close together, then this surface is unique.

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Sinan Ariturk. 2014-10-27. Eigenvalue maximization for surfaces of revolution with prescribed boundary. https://arxiv.org/abs/1410.2221

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