Jump to content

Bernstein's problem

From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by R.e.b. (talk | contribs) at 21:19, 15 January 2011 (→References: ref). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In differential geometry, Bernstein's problem is the problem of whether entire solutions of the minimal surface equation in n-dimensional Euclidean space are linear.

References

  • Bombieri, Enrico; De Giorgi, Ennio; Giusti, E. (1969), "Minimal cones and the Bernstein problem", Inventiones Mathematicae, 7: 243–268, doi:10.1007/BF01404309, ISSN 0020-9910, MR0250205
  • De Giorgi, Ennio (1965), "Una estensione del teorema di Bernstein", Ann. Scuola Norm. Sup. Pisa (3), 19: 79–85, MR0178385
  • Fleming, Wendell H. (1962), "On the oriented Plateau problem", Rendiconti del Circolo Matematico di Palermo. Serie II, 11: 69–90, doi:10.1007/BF02849427, ISSN 0009-725X, MR0157263
  • Sabitov, I.Kh. (2001) [1994], "Bernstein theorem", Encyclopedia of Mathematics, EMS Press
  • Simons, James (1968), "Minimal varieties in riemannian manifolds", Annals of Mathematics. Second Series, 88: 62–105, ISSN 0003-486X, MR0233295
  • Straume, E. (2001) [1994], "Bernstein problem in differential geometry", Encyclopedia of Mathematics, EMS Press
Retrieved from "https://en.wikipedia.org/w/index.php?title=Bernstein%27s_problem&oldid=408086192"