3 papers
math.DG2026
Three Bernstein type theorems for hypersurfaces with zero Gaussian curvature
Slawomir Dinew, Mengru Guo, Heming Jiao
In this paper, we prove Bernstein type theorems for entire convex graphical hypersurfaces with zero Gaussian curvature in both Euclidean and Minkowski context. A supplementary exam…
math.AP2025
The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space
Mengru Guo, Yang Jiao
In this paper, we consider the Dirichlet problem for a class of prescribed Hessian quotient type curvature equations in Minkowski space. For non-convex domains, we prove the existe…
math.AP2024
The Dirichlet problem for a class of curvature equations in Minkowski space
Mengru Guo, Heming Jiao
In this paper, we study the Dirichlet problem for a class of prescribed curvature equations in Minkowski space. We prove the existence of smooth spacelike hypersurfaces with a clas…