The Dirichlet problem for a class of Hessian quotient equations in Lorentz-Minkowski space ${\mathbb{R}}_1^{n+1}$

Abstract

In this paper, under suitable settings, we can obtain the existence and uniqueness of solutions to a class of Hessian quotient equations with Dirichlet boundary condition in Lorentz-Minkowski space ${\mathbb{R}}_1^{n+1}$, which can be seen as a prescribed curvature problem and a continuous work of [12].

27 pages. Comments are welcome. arXiv admin note: substantial text overlap with arXiv:2111.01345