An existence theorem for surfaces of constant mean curvature
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- by Henry C. Wente PDF
- Bull. Amer. Math. Soc. 77 (1971), 200-202
References
- Jesse Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), no. 1, 263–321. MR 1501590, DOI 10.1090/S0002-9947-1931-1501590-9
- Erhard Heinz, Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung, Math. Ann. 127 (1954), 258–287 (German). MR 70013, DOI 10.1007/BF01361126
- Stefan Hildebrandt, On the Plateau problem for surfaces of constant mean curvature, Comm. Pure Appl. Math. 23 (1970), 97–114. MR 256276, DOI 10.1002/cpa.3160230105
- Charles B. Morrey Jr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer-Verlag New York, Inc., New York, 1966. MR 0202511, DOI 10.1007/978-3-540-69952-1
- Robert Osserman, A proof of the regularity everywhere of the classical solution to Plateau’s problem, Ann. of Math. (2) 91 (1970), 550–569. MR 266070, DOI 10.2307/1970637
- Tibor Radó, On Plateau’s problem, Ann. of Math. (2) 31 (1930), no. 3, 457–469. MR 1502955, DOI 10.2307/1968237
- Henry C. Wente, An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl. 26 (1969), 318–344. MR 243467, DOI 10.1016/0022-247X(69)90156-5
- Helmut Werner, Das Problem von Douglas für Flächen konstanter mittlerer Krümmung, Math. Ann. 133 (1957), 303–319 (German). MR 95335, DOI 10.1007/BF01342884
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 200-202
- MSC (1970): Primary 26A63, 28A75, 35A15, 49F99
- DOI: https://doi.org/10.1090/S0002-9904-1971-12679-4
- MathSciNet review: 268743