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<p>in 1962 and <a href="page.php?w=Ennio_De_Giorgi">Ennio De Giorgi</a> in 1965, and to dimensions up to  by <a href="page.php?w=Frederick_J._Almgren_Jr.">Frederick J. Almgren Jr.</a> in 1966 and to  by <a href="page.php?w=Jim_Simons">Jim Simons</a> in 1968. The existence of the Simons cone as a minimizing cone in  demonstrated that the Bernstein theorem could not be extended to  and higher dimensions. Bombieri, De Giorgi, and <a href="page.php?w=Enrico_Giusti">Enrico Giusti</a> proved in 1969 that the Simons cone is indeed area-minimizing, thus</p><p>
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