James McCoy

University of Wollongong (Australia)

A Bernstein Property for a class of Monge-Ampère Equations

Inspired by recent work of Lin and Jia on a Bernstein property of affine maximal hypersurfaces of dimension n = 2 or n = 3, we generalise their result to n-dimensional hypersurfaces satisfying a related fourth order Monge-Ampère-type fully nonlinear PDE