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

Full Text: DOI
[1] Bers, L.; John, F.; Schlechter, M.: Partial differential equations, lectures in applied mathematics. (1964)
[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. No. 35 (1956) · Zbl 0073.04101
[4] Courant, R.: Dirichlet’s principle. (1950) · Zbl 0040.34603
[5] Dunford, N.; Schwartz, J. T.: Linear operators. (1958)
[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.) 1, 1-130 (1943)
[8] Morrey, C.: Multiple integrals in the calculus of variations. (1966) · 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