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On quasi-minimal surfaces

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References

  1. R. Courant, Dirichlet’s principle, conformal mapping, and minimal surfaces, Interscience publishers, New York 1950.

    MATH  Google Scholar 

  2. E. Heinz, Über die analytische Abhängigkeit der Lösungen eines linearen elliptischen Randwertproblems von Parametern, Nachr. d. Akad. Wiss. in Göttingen, II. Math.-Phys., Kl. Jahrgang 1979, 1–20.

    Google Scholar 

  3. E. Heinz, Über eine Verallgemeinerung des Plateauschen Problems, Manuscripta math. 28, (1979), 81–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. E. Heinz, Minimalflächen mit polygonalem Rand, Math. Z. 183 (1983), 547–564.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. E. Heinz, Zum Marx-Shiffmanschen Variationsproblem, J. Reine u. Angew. Math. 344 (1983), 196–200.

    MathSciNet  MATH  Google Scholar 

  6. E. Heinz, Zum Plateauschen Problem für Polygone. Zum Werk Leonhard Eulers, 197–204, Birkhäuser-Verlag, Basel-Boston-Stuttgart 1984.

    Google Scholar 

  7. E. Heinz, An estimate for the total number of branch points of quasi-minimal surfaces, Analysis 5 (1985), 383–390.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. I. Marx, On the classification of unstable minimal surfaces with polygonal boundaries, Comm. P. Appl. Math. 8 (1955), 235–244.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. J.C.C. Nitsche, Uniqueness and non-uniqueness for Plateau’s Problem — one of the last major questions, Obata Morio, Minimal submanifolds and geodesics, Tokyo (1978), 143–161.

    Google Scholar 

  10. F. Sauvigny, Die zweite Variation von Minimalflächen im Rp mit polygonalem Rand, Math. Z. 189 (1985), 167–184.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. F. Sauvigny, Ein Eindeutigkeitssatz für Minimalflächen im Rp mit polygonalem Rand, J. Reine u. Angew. Math. 358 (1985), 92–96.

    MathSciNet  MATH  Google Scholar 

  12. F. Sauvigny, On the Morse index of minimal surfaces in Rp with polygonal boundaries, Manuscripta math. 53 (1985), 167–197.

    CrossRef  MathSciNet  MATH  Google Scholar 

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Dedicated to Hans Lewy

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© 1988 Springer-Verlag

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Heinz, E. (1988). On quasi-minimal surfaces. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds) Calculus of Variations and Partial Differential Equations. Lecture Notes in Mathematics, vol 1340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082892

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  • DOI: https://doi.org/10.1007/BFb0082892

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50119-0

  • Online ISBN: 978-3-540-45932-3

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