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Bombieri, E.; De Giorgi, E.; Giusti, E.

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

Invent. Math. 7, 243-268 (1969).
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Cited in 16 Reviews
Cited in 251 Documents

MathOverflow Questions:

Bernstein type theorems for CMC hypersurfaces in \(\mathbb{R}^{n+1}\)

MSC:

53-XX Differential geometry
49-XX Calculus of variations and optimal control; optimization

Keywords:

differential geometry
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\textit{E. Bombieri} et al., Invent. Math. 7, 243--268 (1969; Zbl 0183.25901)
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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 unicità 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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.