A note on Kuttler-Sigillito's inequalities

2017/09/28 by Hassannezhad, Asma, Siffert, Anna · 1 citation
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1709.09841

Abstract

We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains with C² 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 ℝ² to the manifold setting.

Cited by

• Biharmonic Steklov problems with Neumann boundary conditions and spectral inequalities on differential forms

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