A short proof of the minimality of Simons cone

Guido De Philippis; Emanuele Paolini

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 121, page 233-241
  • ISSN: 0041-8994

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De Philippis, Guido, and Paolini, Emanuele. "A short proof of the minimality of Simons cone." Rendiconti del Seminario Matematico della Università di Padova 121 (2009): 233-241. <http://eudml.org/doc/108759>.

@article{DePhilippis2009,
author = {De Philippis, Guido, Paolini, Emanuele},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {233-241},
publisher = {Seminario Matematico of the University of Padua},
title = {A short proof of the minimality of Simons cone},
url = {http://eudml.org/doc/108759},
volume = {121},
year = {2009},
}

TY - JOUR
AU - De Philippis, Guido
AU - Paolini, Emanuele
TI - A short proof of the minimality of Simons cone
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 121
SP - 233
EP - 241
LA - eng
UR - http://eudml.org/doc/108759
ER -

References

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  1. [1] D. BENARROS - M. MIRANDA, Lawson cones and the Bernstein theorem. Advances in geometric analysis and continuum mechanics (1993), pp. 44-56. Zbl0860.53003MR1356726
  2. [2] E. BOMBIERI - E. D. GIORGI - E. GIUSTI, Minimal cones and the Bernstein problem, Inventiones math., 7 (1969), pp. 243-268. Zbl0183.25901MR250205
  3. [3] P. CONCUS - M. MIRANDA, Macsyma and minimal surfaces, Proc. of Symposia in Pure Mathematics, by the Amer. Math. Soc., 44 (1986), pp. 163-169. MR840272
  4. [4] A. DAVINI, On calibrations for Lawson's cones, Rend. Sem. Mat. Univ. Padova, 111 (2004), pp. 55-70. Zbl1127.53047MR2076732
  5. [5] E. GIUSTI, Minimal Surfaces and Functions of Bounded Variation, volume 80 of Monographs in Mathematics. Birkhäuser, 1984. Zbl0545.49018MR775682
  6. [6] J. H. B. LAWSON, The equivariant Plateau problem and interior regularity. Trans. Amer. Math. Soc., 173 (1972), pp. 231-249. Zbl0279.49043MR308905
  7. [7] U. MASSARI - M. MIRANDA, A remark on minimal cones, Boll. Un. Mat. Ital., 6(2-A) (1983), pp. 231-249. Zbl0518.49030MR694754
  8. [8] U. MASSARI, M. MIRANDA - M. MIRANDA Jr. The Bernstein problem in higher dimensions, Boll. Un. Mat. Ital., 2008 (to appear). Zbl1217.49032
  9. [9] M. MIRANDA, Grafici minimi completi, Ann. Univ. Ferrara, 23 (1977), pp. 269-272. Zbl0367.53001MR467551
  10. [10] M. MIRANDA, Superficie minime e il problema di Plateau, Quaderni di Matematica, Dipartimento di Matematica ``De Giorgi'', Università degli studi di Lecce, 2006. 
  11. [11] F. MORGAN, Calibrations and new singularities in area-minimizing surfaces: A survey, Variatonal methods, Proc. Conf. (Paris/Fr. 1988), Prog. nonlinear Differ. Equ. Appl., 4 (1990), pp. 392-342. Zbl0721.53058MR1205164
  12. [12] P. SIMOES, A class of minimal cones in Rn , n ! 8, that minimize area, PhD thesis, University of California, 1973. MR331197

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