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arXiv · 2302.05854

An isoperimetric inequality for the harmonic mean of Steklov eigenvalues in rank one symmetric spaces

Hemangi Madhusudan Shah·Sheela Verma
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Abstract

In this note, an isoperimetric inequality for the harmonic mean of lower order Steklov eigenvalues is proved on bounded domains in noncompact rank-$1$ symmetric spaces. This work extends result of \cite{BR.01} and \cite{V.21} proved for bounded domains in Euclidean space and Hyperbolic space, respectively.

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Hemangi Madhusudan Shah, Sheela Verma. 2023-02-12. An isoperimetric inequality for the harmonic mean of Steklov eigenvalues in rank one symmetric spaces. https://arxiv.org/abs/2302.05854

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