A note on Kuttler-Sigillito's inequalities

Asma Hassannezhad; Anna Siffert

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arXiv · 1709.09841

A note on Kuttler-Sigillito's inequalities

Asma Hassannezhad·Anna Siffert

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Abstract

We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains with $C^2$ boundary in complete Riemannian manifolds. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold. Our results in particular extend some inequalities due to Kutller and Sigillito from subsets of $\mathbb{R}^2$ to the manifold setting.

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Asma Hassannezhad, Anna Siffert. 2017-09-28. A note on Kuttler-Sigillito's inequalities. https://arxiv.org/abs/1709.09841

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