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The Dirichlet problem for the prescribed curvature equations in Minkowski space

Analysis of PDEs 2025-07-25 v3

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.

Keywords

Cite

@article{arxiv.2503.20656,
  title  = {The Dirichlet problem for the prescribed curvature equations in Minkowski space},
  author = {Bin Wang},
  journal= {arXiv preprint arXiv:2503.20656},
  year   = {2025}
}

Comments

Final version, to appear