An isoperimetric inequality for harmonic mean of Steklov eigenvalues in Hyperbolic space

Sheela Verma

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arXiv · 2006.07876

An isoperimetric inequality for harmonic mean of Steklov eigenvalues in Hyperbolic space

Sheela Verma

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Abstract

In this article, we prove an isoperimetric inequality for the harmonic mean of the first $(n-1)$ nonzero Steklov eigenvalues on bounded domains in $n$-dimensional Hyperbolic space. Our approach to prove this result also gives a similar inequality for the first $n$ nonzero Steklov eigenvalues on bounded domains in $n$-dimensional Euclidean space.

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Sheela Verma. 2020-06-14. An isoperimetric inequality for harmonic mean of Steklov eigenvalues in Hyperbolic space. https://arxiv.org/abs/2006.07876

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