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Generalized surfaces with prescribed elementary boundary

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References

  1. —P. Alexandroff and H. Hopf,Topologie, Berlin, 1935.

  2. —N. Bourbaki,Espaces Vectoriels Topologiques, Actualités Sci. et Ind. No. 1189, Paris, 1953.

  3. —L. Cesari,Surface Area, Annals of Math. Studies No. 35, Princeton, 1956.

  4. —W. H. Fleming,An example in the problem of least area, Proc. Amer. Math. Soc. vol. 7 (1956), pp. 1063–1074.

    Article  MathSciNet  Google Scholar 

  5. —W. H. Fleming and L. C. Young,A generalized notion of boundary, Trans. Amer. Math. Soc. vol. 76 (1954), pp. 457–484.

    Article  MATH  MathSciNet  Google Scholar 

  6. —W. H. Fleming and L. C. Young,Representations of generalized surfaces as mixtures, Rendiconti Circolo Mat. Palermo, Ser. 2 vol. 5 (1956), pp. 117–144.

    Article  MATH  MathSciNet  Google Scholar 

  7. —L. C. Young,Surfaces paramétriques généralisées, Bull. Soc. Math. France vol. 79 (1951) pp. 59–85.

    MATH  MathSciNet  Google Scholar 

  8. —L. C. Young,Generalized surfaces of finite topological type, Memoirs Amer. Math. Soc. No. 17 (1955).

  9. —L. C. Young,A variational algorithm, Rivista Mat. Univ. Parma vol. 5 (1954), pp. 255–268.

    MATH  Google Scholar 

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Sponsored, in part, by Office of Ordnance Research, U. S. Army, under Contract No. DA-11-022-ORD-1511.

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Fleming, W.H., Young, L.C. Generalized surfaces with prescribed elementary boundary. Rend. Circ. Mat. Palermo 5, 320–340 (1956). https://doi.org/10.1007/BF02849391

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