The higher topological form of Plateau's problem

Jesse Douglas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1939)

  • Volume: 8, Issue: 3-4, page 195-218
  • ISSN: 0391-173X

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Douglas, Jesse. "The higher topological form of Plateau's problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 8.3-4 (1939): 195-218. <http://eudml.org/doc/82975>.

@article{Douglas1939,
author = {Douglas, Jesse},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Variational calculus},
language = {eng},
number = {3-4},
pages = {195-218},
publisher = {Scuola normale superiore},
title = {The higher topological form of Plateau's problem},
url = {http://eudml.org/doc/82975},
volume = {8},
year = {1939},
}

TY - JOUR
AU - Douglas, Jesse
TI - The higher topological form of Plateau's problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1939
PB - Scuola normale superiore
VL - 8
IS - 3-4
SP - 195
EP - 218
LA - eng
KW - Variational calculus
UR - http://eudml.org/doc/82975
ER -

References

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  1. J. Douglas: 1. - Some new results in the problem of Plateau. Journal of Math. and Physics, v. 15 (1936), pp. 55-64. Zbl0013.41703JFM62.1462.02
  2. 2 - Minimal surfaces of general topological structure with any finite number of assigned boundaries. Ibid., pp. 106-125. 
  3. 3 - Minimal surfaces of higher topological structure. Annals of Math., v. 40 (1939), pp. 205-298. Zbl65.0454.01
  4. 4 - Green's function and the problem of Plateau. American Journal of Math. (in press). 
  5. 5 - The most general form of the problem of Plateau. American Journal of Math. (in press). 
  6. 6 - Preliminary notes to nos. 3, 4, 5, with the same titles, Proc. Nat. Acad. Sci., U. S. A., v. 24 (1938), pp. 343-364. 
  7. 7 - Solution of the problem of Plateau. Transactions Amer. Math. Soc., v. 33 (1931), pp. 263-321. 
  8. 8 - The problem of Plateau. Bulletin Amer. Math. Soc., v. 39 (1933), pp. 227-251. 
  9. 9 - The problem of Plateau for two contours. Journal of Math. and Physics, v. 10 (1931), pp. 310-359. 
  10. 10 - One-sided minimal surfaces with a given boundary. Transactions Amer. Math. Soc., v. 34 (1932), pp. 731-756. Zbl0005.37603
  11. R. Courant: 11. - On the problem of Plateau. Proc. Nat. Acad. Sci., U. S. A., v. 22 (1936), pp. 367-372. Zbl0015.02804JFM62.1462.04
  12. 12 - Plateau's problem and Dirichlet's principle. Annal of Math., v. 38 (1937), pp. 679-724. 
  13. 13 - Remarks on Plateau's and Douglas' problem. Proc. Nat. Acad. Sci., U. S. A., v. 24 (1938), pp. 519-523. Zbl0020.13601
  14. L. Tonelli: 14. - Sul problema di Plateau. Rendiconti Lincei, v, 24 (1936), pp. 333-339, 393-398. Zbl0016.26405

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