The Dirichlet problem for the prescribed curvature equations in Minkowski space

2025/03/26 by Bin Wang, Wang, Bin · 2 citations
Computer Science · Mathematics · #35J60 #53C21 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Primary 53C50 #Secondary 35B45

paper · pdf · doi:10.48550/arxiv.2503.20656

openalex publication_date 2025/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Dirichlet problem for functions whose graphs are spacelike hypersurfaces with prescribed curvature in the Minkowski space and we obtain some new interior second order estimates for admissible solutions to the corresponding fully nonlinear elliptic partial differential equations.

Cited by

• Stability and rigidity results of space-like hypersurface in the Minkowski space
• The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space

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