New area-minimizing Lawson–Osserman cones.

It has been 40 years since Lawson and Osserman introduced the three minimal cones associated with Dirichlet problems in their 1977 Acta paper [13] . The first cone was shown area-minimizing by Harvey and Lawson in the celebrated paper [10] . 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 [26] is area-minimizing. [ABSTRACT FROM AUTHOR]