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Abstract <p> 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. </p> <p> <b> DOI</b> 10.1134/S1061920824601605 </p>

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Upper Bounds for Steklov Eigenvalues of a Hypersurface of Revolution

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • D. Seliutskii

摘要

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.

DOI 10.1134/S1061920824601605