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Sharp Steklov Upper Bound for Submanifolds of Revolution

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Abstract

In this note, we find a sharp upper bound for the Steklov spectrum on a submanifold of revolution in Euclidean space with one boundary component.

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Acknowledgements

The authors sincerely thank Dr. Katie Gittins for her valuable comments and suggestions. Authors are also thankful to the anonymous reviewers for their careful reading of our manuscript and their many insightful comments and suggestions.

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Authors and Affiliations

  1. Université de Neuchâtel, Institut de Mathématiques, Rue Emile-Argand 11, Neuchâtel, 2000, Switzerland

    Bruno Colbois

  2. Tata Institute of Fundamental Research, Centre For Applicable Mathematics, Bangalore, India

    Sheela Verma

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  1. Bruno Colbois
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  2. Sheela Verma
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Correspondence to Sheela Verma.

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Colbois, B., Verma, S. Sharp Steklov Upper Bound for Submanifolds of Revolution. J Geom Anal 31, 11214–11225 (2021). https://doi.org/10.1007/s12220-021-00678-1

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  • DOI: https://doi.org/10.1007/s12220-021-00678-1

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