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arXiv · 2407.13422

Upper bounds for Steklov eigenvalues of a hypersurface of revolution

Denis Selutckii
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Abstract

In this paper we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that in some cases this boundary is sharp.

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Denis Selutckii. 2024-07-18. Upper bounds for Steklov eigenvalues of a hypersurface of revolution. https://arxiv.org/abs/2407.13422

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