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Minimal cones and the Bernstein problem. (English) Zbl 0183.25901

MSC:
53-XX Differential geometry
49-XX Calculus of variations and optimal control; optimization
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References:
[1] Almgren, F.J.Jr.: Some interior regularity theorems for minimal surfaces and an extension of Bernstein’s theorem. Ann. of Math.85, 277-292 (1966). · Zbl 0146.11905
[2] Birkhoff, G., and G. C. Rota: Ordinary differential equations. Boston: Ginn & Co. 1962.
[3] Bombieri, E.: Nuovi risultati sulle ipersuperfici minimali non parametriche. Rend. Sem. Mat. Fis. Milano38, 2-12 (1968). · Zbl 0188.17601
[4] Bombieri, E., E. De Giorgi, and M. Miranda: Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche. Archive for Rat. Mech. and Analysis (1968). · Zbl 0184.32803
[5] De Giorgi, E.: Frontiere orientate di misura minima. Sem. Mat. Sc. Norm. Sup. Pisa, A.A. 1960/61. · Zbl 0296.49031
[6] ?: Una estensione del teorema di Bernstein. Ann. Sc. Norm. Sup. Pisa19, 79-85 (1965).
[7] Federer, H., and W. H. Fleming: Normal and integral currents. Ann. of Math.72, 458-520 (1960). · Zbl 0187.31301
[8] Fleming, W. H.: On the oriented Plateau problem. Rend. Circolo Mat. Palermo9, 69-89 (1962). · Zbl 0107.31304
[9] Miranda, M.: Sul minimo dell’integrale del gradiente di una funzione. Annali Sc. Norm. Sup. di Pisa19, 627-665 (1965). · Zbl 0166.09604
[10] ?: Un teorema di esistenza e unicitĂ  per il problema dell’area minima inn variabili. Annali Sc. Norm. Sup. di Pisa19, 233-250 (1965). · Zbl 0137.08201
[11] ?: Comportamento delle successioni convergenti di frontiere minimali. Rend. Sem. Mat. Padova38, 238-257 (1967). · Zbl 0154.37102
[12] Simons, J.: Minimal varieties in riemannian manifolds. Annals of Math.88, 62-105 (1968). · Zbl 0181.49702
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