Bounds for the First eigenvalue of a spherical cap

C. Betz; G. A. C�mera; H. Gzyl

doi:10.1007/bf01448386

journal article Jun 01, 1983

Bounds for the First eigenvalue of a spherical cap

C. Betz G. A. C�mera H. Gzyl

Applied Mathematics & Optimization Vol. 10 No. 1 pp. 193-202 · Springer Science and Business Media LLC

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References

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Debiard A, Gaveau B, Mazet E (1975) Théoremes de comparison en géometrie Riemannienne. Comptes Rendus Acad Sciences Paris, Ser A, 281:455?458

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Erdelyi A, Magnus W, Oberhettinger F, Tricomi F (1953) Higher transcendental functions, vol 1. McGraw-Hill, New York

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Friedland S, Hayman WK (1976) ?Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions. Comment Math Helvetici 51:133?161 10.1007/bf02568147

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Hobson EW (1931) The theory of spherical and ellipsoidal harmonics. Cambridge Univ. Press

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Pinsky MA (1981) The first eigenvalue of a spherical cap. Appl Math Optim 7:137?139 10.1007/bf01442111

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Sperner E (1973) Zur Symmetrisierung von Funktionen auf spharen. Math Z 134:317?327 10.1007/bf01214695

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Published: Jun 01, 1983
Vol/Issue: 10(1)
Pages: 193-202
License: View

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Cite This Article

C. Betz, G. A. C�mera, H. Gzyl (1983). Bounds for the First eigenvalue of a spherical cap. Applied Mathematics & Optimization, 10(1), 193-202. https://doi.org/10.1007/bf01448386

Bounds for the First eigenvalue of a spherical cap

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