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Feinberg, Jerry M.

The isoperimetric inequality for doubly-connected minimal surfaces in \(\mathbb{R}^n\). (English) Zbl 0387.53002

J. Anal. Math. 32, 249-278 (1977).
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Cited in 4 Documents

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
52A40 Inequalities and extremum problems involving convexity in convex geometry
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\textit{J. M. Feinberg}, J. Anal. Math. 32, 249--278 (1977; Zbl 0387.53002)
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References:

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[2] T. Carleman,Zur Theorie der Minimalflächen, Math. Z.9 (1921), 154–160. · JFM 48.0590.02
[3] J. M. Feinberg,Some Wirtinger-like inequalities, to appear. · Zbl 0426.26008
[4] M. Morse and C. Tompkins,The continuity of the area of harmonic surfaces as a function of the boundary representation, Amer. J. Math.63 (1941), 825–838. · Zbl 0026.12404
[5] J. C. C. Nitsche,The isoperimetric inequality for multiply-connected surfaces, Math. Ann.160 (1965), 370–375. · Zbl 0144.20505
[6] J. C. C. Nitsche,Vorlesungen über Minimalflächen, Springer-Verlag, Berlin, 1975. · Zbl 0319.53003
[7] R. Osserman,A Survey of Minimal Surfaces, Van Nostrand-Reinhold, New York, 1969. · Zbl 0209.52901
[8] R. Osserman and M. Schiffer,Doubly-connected minimal surfaces, Arch. Rational Mech. Anal.58 (1975), 285–307. · Zbl 0352.53005
[9] G. Polya and G. Szegö,Aufgaben und Lehrsätze aus der Analysis, Erster Band, 4. Auflage, Springer-Verlag, Berlin, 1970.
[10] T. Rado,On the Problem of Plateau, Springer-Verlag, Berlin, 1933. · Zbl 0007.11804
[11] T. Rado,On Plateau’s Problem, Ann. of Math.31 (1930), 457–469. · JFM 56.0437.02
[12] M. Schiffer and N. S. Hawley,Connections and conformal mapping, Acta Math.107 (1962), 175–274. · Zbl 0115.29301
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