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Stability of minimal surfaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 561)

Keywords

  • Minimal Surface
  • Branch Point
  • Common Zero
  • Infinite Dimension
  • Jacobi Field

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References

  1. Böhme, R.: Über Isoliertheit und Stabilität der Lösungen des klassischen Plateauproblems. 1976. Submitted to Math.Z.

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  2. Böhme, R.: Die Jacobifelder zu Minimalflächen im ℝ3. Manuscr.math. 16, 51–73, 1975.

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  3. Cerf, J.: La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudoisotopie. Publ.Math. IHES, 41, 5–173, 1970.

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  4. Osserman, R.: A survey of minimal surfaces. New York, van Nostrand, 1969.

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  5. Schwartz, J.T.: Nonlinear functional analysis. New York London, Paris. Gordon and Breach, 1969.

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  6. Sergeraert, F.: Un théorème des fonctions implicités dans certains espaces de Frechet et quelques applications. Ann.Sci.Ec.Norm.Sup. (3), 5, 559–660, 1972.

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  7. Simons, J.: Minimal varieties in Riemannian manifolds. Ann.Math. 88, 52–105, 1968.

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  8. Tromba, A.J.: On the number of simply connected minimal surfaces spanning a curve in ℝ3. Subm. to Trans.AMS. 1975.

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  9. Weierstrass, K.: Untersuchungen über die Flächen, deren mittlere Krümmung überall Null ist. Werke Bd.3, S.39 ff, 1894.

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© 1976 Springer-Verlag

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Böhme, R. (1976). Stability of minimal surfaces. In: Meister, V.E., Wendland, W.L., Weck, N. (eds) Function Theoretic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087631

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  • DOI: https://doi.org/10.1007/BFb0087631

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08054-1

  • Online ISBN: 978-3-540-37536-4

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