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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions
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by James Kennedy PDF
Proc. Amer. Math. Soc. 137 (2009), 627-633 Request permission

Abstract:

We prove that the second eigenvalue of the Laplacian with Robin boundary conditions is minimized among all bounded Lipschitz domains of fixed volume by the domain consisting of the disjoint union of two balls of equal volume.
References
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Additional Information
  • James Kennedy
  • Affiliation: School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia
  • Email: J.Kennedy@maths.usyd.edu.au
  • Received by editor(s): January 30, 2008
  • Published electronically: October 8, 2008
  • Communicated by: Matthew J. Gursky
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 627-633
  • MSC (2000): Primary 35P15, 35J25
  • DOI: https://doi.org/10.1090/S0002-9939-08-09704-9
  • MathSciNet review: 2448584