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

Jing Mao; Ya Gao; YanLing Gao

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arxiv 2111.02028 v1 pith:ACJPL3TJ submitted 2021-11-03 math.DG

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

Ya Gao , YanLing Gao , Jing Mao This is my paper

classification math.DG

keywords classdirichletequationshessianlorentz-minkowskimathbbproblemquotient

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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 $\mathbb{R}^{n+1}_{1}$, which can be seen as a prescribed curvature problem and a continuous work of [12].

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

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