New non-quadratic Euclidean complete affine maximal type hypersurfaces via Calabi affine geometry

Yalin Sun, Cheng Xing, Ruiwei Xu

The Bernstein problem for the affine maximal type equation \[ \sum_{i,j=1}^n f^{ij} w_{ij}=0,\qquad w\equiv \left[\det\left(\frac{\partial^2 f}{\partial x_i\partial x_j}\right)\rig…