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Jenkins, Howard; Serrin, James

Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation. (English) Zbl 0171.08301

Arch. Ration. Mech. Anal. 21, 321-342 (1966).
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Cited in 5 Reviews
Cited in 46 Documents

Keywords:

partial differential equations
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\textit{H. Jenkins} and \textit{J. Serrin}, Arch. Ration. Mech. Anal. 21, 321--342 (1966; Zbl 0171.08301)
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References:

[1] Courant, R., & D. Hilbert, Methods of mathematical physics, vol. II. New York: Inter-science 1962.
[2] Finn, R., On equations of minimal surface type. Ann. of Math. 60, 397–416 (1954). · Zbl 0058.32501
[3] Finn, R., New estimates for equations of minimal surface type. Arch. Rational Mech. Analysis 14, 337–375 (1963). · Zbl 0133.04601
[4] Haar, A., Über das Plateausche Problem. Math. Ann. 97, 124–258 (1927). · JFM 52.0710.02
[5] Jenkins, H., On quasi-linear elliptic equations which arise from variational problems. J. Math. Mech. 10, 705–728 (1961). · Zbl 0145.36402
[6] Jenkins, H., & J. Serrin, Variational problems of minimal surface type, I. Arch. Rational Mech. Analysis 12, 185–212 (1963). · Zbl 0122.39602
[7] Nitsche, J.C.C., Über eine mit der Minimalflächengleichung zusammenhängende analytische Funktion und den Bernsteinschen Satz. Arch. Math. 7, 417–419 (1956). · Zbl 0079.37701
[8] Nitsche, J.C.C., Über ein verallgemeinertes Dirichletsches Problem für die Minimalflächengleichung und hebbare Unstetigkeiten ihrer Lösungen. Math. Ann. 158, 203–214 (1965). · Zbl 0141.09601
[9] Nitsche, J.C.C., On new results in the theory of minimal surfaces. Bull. Amer. Math. Soc. 71, 195–270 (1965). · Zbl 0135.21701
[10] Radó, T., The problem of least area and the problem of Plateau. Math. Z. 32, 763–796 (1930). · JFM 56.0436.01
[11] Radó, T., The Problem of Plateau. Berlin: Springer 1932. · JFM 59.1341.01
[12] Serrin, J., A priori estimates for solutions of the minimal surface equation. Arch. Rational Mech. Anal. 14, 376–383 (1963). · Zbl 0117.07304
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