论文标题
双曲线空间中Steklov特征值的谐波平均值的等值不平等
An isoperimetric inequality for harmonic mean of Steklov eigenvalues in Hyperbolic space
论文作者
论文摘要
在本文中，我们证明了第一个$（N-1）$ nonzero steklov eigenvalues在$ n $ dimemensial-demensiential多余的空间中的谐波平均值。我们证明这一结果的方法也给第一个$ n $维欧几里得空间的有限域上的第一个$ n $ nonzero steklov eigenvalues带来了类似的不平等。
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.
