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An inequality of a Stekloff eigenvalue by the method of defect


Authors: J. R. Kuttler and V. G. Sigillito
Journal: Proc. Amer. Math. Soc. 20 (1969), 357-360
MSC: Primary 35.80
DOI: https://doi.org/10.1090/S0002-9939-1969-0235323-5
MathSciNet review: 0235323
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  • [1] J. H. Bramble and L. E. Payne, Bounds in the Neumann problem for second order uniformly elliptic operators, Pacific J. Math. 12 (1962), 823-833. MR 0146504 (26:4026)
  • [2] J. Hersch, Sur la fréquence fondamentale d'une membrane vibrante: évaluations par défaut et principe de maximum, Z. Angew. Math. Phys. 11 (1960), 387-413. MR 0125319 (23:A2622)
  • [3] O. D. Kellogg, Foundations of potential theory, Dover, New York, 1953.
  • [4] J. R. Kuttler and V. G. Sigillito, Inequalities for Stekloff and membrane eigenvalues, J. Math. Anal. Appl. 23 (1968), 148-160. MR 0226226 (37:1816)
  • [5] L. E. Payne, Isoperimetric inequalities and their applications, SIAM Rev. 9 (1967), 453-488. MR 0218975 (36:2058)
  • [6] L. E. Payne and H. F. Weinberger, New bounds in harmonic and biharmonic problems, J. Math. Phys. 33 (1955), 291-307. MR 0068683 (16:923g)
  • [7] A. Pleijel, Remarks on Courant's nodal line theorem, Comm. Pure Appl. Math. 9 (1956), 543-550. MR 0080861 (18:315d)
  • [8] M. W. Stekloff, Sur les problèmes fondamentaux de la physique mathématique, Ann. Sci. École Norm. Sup. 19 (1902), 455-490. MR 1509018
  • [9] R. Weinstock, Inequalities for a classical eigenvalue problem, J. Rational Mech. Anal. 3 (1954), 745-753. MR 0064989 (16:368c)

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DOI: https://doi.org/10.1090/S0002-9939-1969-0235323-5
Article copyright: © Copyright 1969 American Mathematical Society

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