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A note on Kuttler–Sigillito’s inequalities

Research output: Contribution to journalArticle

Original languageEnglish
Number of pages23
JournalAnnales mathématiques du Québec
Early online date9 Mar 2019
DOIs
DateAccepted/In press - 18 Feb 2019
DateE-pub ahead of print (current) - 9 Mar 2019

Abstract

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.

    Research areas

  • Steklov eigenvalue problems, Eigenvalue bounds, Rellich identity

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via Springer at https://link.springer.com/article/10.1007/s40316-019-00113-6#enumeration . Please refer to any applicable terms of use of the publisher.

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