Skip to main content
Log in

Minimal cones and the Bernstein problem

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

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).

    Google Scholar 

  2. Birkhoff, G., and G. C. Rota: Ordinary differential equations. Boston: Ginn & Co. 1962.

    Google Scholar 

  3. Bombieri, E.: Nuovi risultati sulle ipersuperfici minimali non parametriche. Rend. Sem. Mat. Fis. Milano38, 2–12 (1968).

    Google Scholar 

  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).

  5. De Giorgi, E.: Frontiere orientate di misura minima. Sem. Mat. Sc. Norm. Sup. Pisa, A.A. 1960/61.

  6. —: Una estensione del teorema di Bernstein. Ann. Sc. Norm. Sup. Pisa19, 79–85 (1965).

    Google Scholar 

  7. Federer, H., and W. H. Fleming: Normal and integral currents. Ann. of Math.72, 458–520 (1960).

    Google Scholar 

  8. Fleming, W. H.: On the oriented Plateau problem. Rend. Circolo Mat. Palermo9, 69–89 (1962).

    Google Scholar 

  9. Miranda, M.: Sul minimo dell'integrale del gradiente di una funzione. Annali Sc. Norm. Sup. di Pisa19, 627–665 (1965).

    Google Scholar 

  10. —: Un teorema di esistenza e unicità per il problema dell'area minima inn variabili. Annali Sc. Norm. Sup. di Pisa19, 233–250 (1965).

    Google Scholar 

  11. —: Comportamento delle successioni convergenti di frontiere minimali. Rend. Sem. Mat. Padova38, 238–257 (1967).

    Google Scholar 

  12. Simons, J.: Minimal varieties in riemannian manifolds. Annals of Math.88, 62–105 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bombieri, E., De Giorgi, E. & Giusti, E. Minimal cones and the Bernstein problem. Invent Math 7, 243–268 (1969). https://doi.org/10.1007/BF01404309

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01404309

Keywords

Navigation