| AND (2009) | |||||||||||||
Abstract | |||||||||||||
| A classical theorem of Jörgens (n = 2 [17]), Calabi (n ≤ 5 [7]), and Pogorelov (n ≥ 2 [18]) states that any classical convex solution of (1.1) det(D 2 u) = 1 inR n must be a quadratic polynomial. For n = 2, a classical solution is either convex or | |||||||||||||
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