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math.AP2021
Boundary Regularity for the Oblique Boundary Value Problem of Monge-Ampère Equations
Huaiyu Jian, Xushan Tu
We study the good shape property of boundary sections of convex solutions of the oblique boundary value problem for Monge-Ampère equations $$\det D^2u =f(x) \text{ in } Ω, \quad D_…
math.AP2021★ 1 cited
A Liouville theorem for the Neumann problem of the Monge-Ampere equation
Huaiyu Jian, Xushan Tu
In this paper, we study the Neumann problem of Monge-Ampère equations in Semi-space. For two dimensional case, we prove that its viscosity convex solutions must be a quadratic poly…