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Local estimates for the gradient of non-parametric surfaces of prescribed mean curvature. (English) Zbl 0266.53042


MSC:

53C40 Global submanifolds
52A40 Inequalities and extremum problems involving convexity in convex geometry
Full Text: DOI

References:

[1] Allard, Annals of Math. 95 pp 417– (1972)
[2] Bombieri, Arch. Rat. Mech. and Anal. 4 pp 255– (1969)
[3] Maggiorazioni a priori relative alle ipersuperfici minimali, Atti del Convegno di Analisi Funzionale, Roma, 1968.
[4] Geometric Measure Theory, Springer Verlag, 1969. · Zbl 0176.00801
[5] Giusti, Rend. Sem. Mat. e Fisico, Milano pp 1– (1970)
[6] Heinz, J. Diff. Geom. 5 pp 149– (1971)
[7] Ladyzenskaya, Comm. Pure Appl. Math. 23 pp 677– (1970)
[8] Esistenza e regolarità delle ipersuperfici di curvatura media assegnata in Rn, to appear.
[9] Miranda, Rend. Sem. Mat. Padova 38 pp 91– (1967)
[10] A new proof of the interior gradient bound for the minimal surface equation in n dimensions, to appear. · Zbl 0231.53007
[11] Gradient estimates and mean curvature, to appear. · Zbl 0253.53003
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