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Wente, Henry C.

An existence theorem for surfaces of constant mean curvature. (English) Zbl 0181.11501

J. Math. Anal. Appl. 26, 318-344 (1969).
Reviewer: Henry C. Wente
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Cited in 7 Reviews
Cited in 150 Documents

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

Citations:

Zbl 0055.15303; Zbl 0077.34901
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\textit{H. C. Wente}, J. Math. Anal. Appl. 26, 318--344 (1969; Zbl 0181.11501)
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References:

[1] Bers, L.; John, F.; Schlechter, M., (Partial Differential Equations, Lectures in Applied Mathematics, Vol. III (1964), Wiley (Interscience): Wiley (Interscience) New York)
[2] Bononcini, V., Un Teorema di Continuita per Integrali su Superficie Chiuse, Riv. Mat. Univ. Parma, 4, 299-311 (1953) · Zbl 0053.03103
[3] Cesari, L., Surface area, Ann. Math., No. 35 (1956), Princeton · Zbl 0073.04101
[4] Courant, R., Dirichlet’s Principle (1950), Wiley (Interscience): Wiley (Interscience) New York · JFM 63.1067.01
[5] Dunford, N.; Schwartz, J. T., Linear Operators (1958), Wiley (Interscience): Wiley (Interscience) New York
[6] Heinz, E., Uber die Existenz einer Flache Konstanter Mittlerer Krummung bei vorgegebener Berandung, Math. Ann., 127, 258-287 (1954) · Zbl 0055.15303
[7] Morrey, C., Multiple integral problems in the calculus of variations and related topics, Univ. of California Publ. Math. (N. S.), I, 1-130 (1943)
[8] Morrey, C., Multiple Integrals in the Calculus of Variations (1966), Springer Verlag: Springer Verlag New York · Zbl 0142.38701
[9] Sigalov, A., Two-dimensional Problems in the Calculus of Variations, Am. Math. Soc. Trans. Ser. I, 6, 27-146 (1962)
[10] Werner, H., Problem von Douglas fur Flachen Konstanter Mittlerer Krümmung, Math. Ann., 133, 303-319 (1957) · Zbl 0077.34901
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