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math.DG2023
On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature
Zhenan Sui
We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain…
math.AP2023
Weak solutions to Hessian type equations on compact Riemannian manifolds
Zhenan Sui, Wei Sun
In this paper, we shall study the existence of weak solutions to Hessian type equations on compact Riemannian manifolds without boundary.
math.AP2023
Interior gradient estimates for prescribed curvature equations in hyperbolic space
Zhenan Sui, Wei Sun
In this paper, we study the interior gradient estimates for admissible solutions to prescribed curvature equations in hyperbolic space.