  It has been 40 years since Lawson and Osserman introduced the three minimal
cones associated with Dirichlet problems in their 1977 Acta paper [LO77]. The
first cone was shown area-minimizing by Harvey and Lawson in the celebrated
paper [HL82]. In this paper, we confirm that the other two are also
area-minimizing. In fact, we show that every Lawson-Osserman cone of type (n,
p, 2) constructed in [XYZ] is area-minimizing.
