A note on Kuttler–Sigillito’s inequalities

Asma Hassannezhad, Anna Siffert

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)
158 Downloads (Pure)


We provide several inequalities between eigenvalues of some classical eigenvalue problems on compact Riemannian manifolds with C² boundary. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold. Our results in particular extend some inequalities due to Kuttler and Sigillito from subsets of R² to the manifold setting.
Original languageEnglish
Number of pages23
JournalAnnales mathématiques du Québec
Early online date9 Mar 2019
Publication statusE-pub ahead of print - 9 Mar 2019


  • Steklov eigenvalue problems
  • Eigenvalue bounds
  • Rellich identity


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