About the cover: The work of Jesse Douglas on minimal surfaces
Authors:
Jeremy Gray and Mario Micallef
Journal:
Bull. Amer. Math. Soc. 45 (2008), 293-302
MSC (2000):
Primary 01A60, 53A10, 58E12
DOI:
https://doi.org/10.1090/S0273-0979-08-01192-0
Published electronically:
February 14, 2008
MathSciNet review:
2383307
Full-text PDF Free Access
References | Similar Articles | Additional Information
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- 2. Douglas, J., 1931b, The Problem of Plateau for Two Contours, Journal of Mathematics and Physics 10, 315-359.
- 3. Jesse Douglas, Minimal surfaces of higher topological structure, Ann. of Math. (2) 40 (1939), no. 1, 205–298. MR 1503457, https://doi.org/10.2307/1968552
- 4. (1927, 143-4, 32) Reduction of the problem of Plateau to an integral equation.
- 5. (1927, 259, 5) Reduction to integral equations of the problem of Plateau for the case of two contours.
- 6.
(1928, 405, 5) Reduction of the problem of Plateau to the minimization of a certain functional.
- 7. R. Courant, The existence of minimal surfaces of given topological structure under prescribed boundary conditions, Acta Math. 72 (1940), 51–98. MR 2478, https://doi.org/10.1007/BF02546328
- 8. René Garnier, Le problème de Plateau, Ann. Sci. École Norm. Sup. (3) 45 (1928), 53–144 (French). MR 1509285
- 9. Gray, J.J., and Micallef, M.J., Minimal surfaces and the work of Jesse Douglas, book, in preparation.
- 10. Stefan Hildebrandt and Heiko von der Mosel, On two-dimensional parametric variational problems, Calc. Var. Partial Differential Equations 9 (1999), no. 3, 249–267. MR 1725204, https://doi.org/10.1007/s005260050140
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- 12. Koebe, P., 1917, Abhandlungen zur Theorie der konformen Abbildung, III Der allgemeine Fundamentalsatz der konformen Abbildung nebst einer Anwendung auf die konforme Abbildung der Oberfläche einer körperlichen Ecke, Journal für die reine und angewandte Mathematik 147, 67-104.
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Additional Information
Jeremy Gray
Affiliation:
(Gray) Centre for the History of the Mathematical Sciences, Open University, Milton Keynes, MK7 6AA, U.K.
Mario Micallef
Affiliation:
(Micallef) Mathematics Institute, University of Warwick, Coventry, CV4 7AL, U.K.
DOI:
https://doi.org/10.1090/S0273-0979-08-01192-0
Received by editor(s):
June 11, 2007
Received by editor(s) in revised form:
August 20, 2007
Published electronically:
February 14, 2008
Article copyright:
© Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.