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math.DG2022
Non-quadratic Euclidean complete affine maximal type hypersurfaces for
Shi-Zhong Du
Bernstein problem for affine maximal type equation \begin{equation}\label{e0.1} u^{ij}D_{ij}w=0, \ \ w\equiv[\det D^2u]^{-θ},\ \ \forall x\inΩ\subset{\mathbb{R}}^N \end{equation} h…
math.DG2021★ 4 cited
Bernstein Problem of Affine Maximal Type Hypersurfaces on Dimension N>=3
Shi-Zhong Du
Bernstein problem for affine maximal type equation has been a core problem in affine geometry. A conjecture proposed firstly by Chern for entire graph and then extended by Trudinge…