A short proof of the minimality of Simons cone
Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 233-241.
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De Philippis, Guido; Paolini, Emanuele. A short proof of the minimality of Simons cone. Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 233-241. http://archive.numdam.org/item/RSMUP_2009__121__233_0/

[1] D. Benarros - M. Miranda, Lawson cones and the Bernstein theorem. Advances in geometric analysis and continuum mechanics (1993), pp. 44-56. | MR | Zbl

[2] E. Bombieri - E. D. Giorgi - E. Giusti, Minimal cones and the Bernstein problem, Inventiones math., 7 (1969), pp. 243-268. | MR | Zbl

[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. | MR

[4] A. Davini, On calibrations for Lawson's cones, Rend. Sem. Mat. Univ. Padova, 111 (2004), pp. 55-70. | Numdam | MR | Zbl

[5] E. Giusti, Minimal Surfaces and Functions of Bounded Variation, volume 80 of Monographs in Mathematics. Birkhäuser, 1984. | MR | Zbl

[6] J. H. B. Lawson, The equivariant Plateau problem and interior regularity. Trans. Amer. Math. Soc., 173 (1972), pp. 231-249. | MR | Zbl

[7] U. Massari - M. Miranda, A remark on minimal cones, Boll. Un. Mat. Ital., 6(2-A) (1983), pp. 231-249. | MR | Zbl

[8] U. Massari, M. Miranda - M. Miranda Jr. The Bernstein problem in higher dimensions, Boll. Un. Mat. Ital., 2008 (to appear).

[9] M. Miranda, Grafici minimi completi, Ann. Univ. Ferrara, 23 (1977), pp. 269-272. | MR | Zbl

[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] 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. | MR | Zbl

[12] P. Simoes, A class of minimal cones in Rn , n ! 8, that minimize area, PhD thesis, University of California, 1973. | MR