7 citations · 12 across the 11 of their papers we have counts for
12 papers
Interior Hessian estimates for -convex solutions of Hessian quotient equations
Zhisu Li, Ke Wu
We study interior Hessian estimates for -convex solutions of Hessian quotient equations with , , and $k-\ell \…
Interior Hessian estimates for the quadratic Hessian equation
Zhisu Li, Ke Wu
We establish interior Hessian estimates for solutions of the quadratic Hessian equation in arbitrary dimensions.
The exterior Dirichlet problem for special Lagrangian equations
Yu Lei, Zhisu Li
We establish the existence and uniqueness theorem for the exterior Dirichlet problem for the special Lagrangian equation with prescribed asymptotic behavior at infinity, in both th…
A concavity inequality and interior estimate for Hessian quotient equations
Zhisu Li, Ke Wu
We establish a concavity inequality for the Hessian quotient operators in the cases , and then derive the corresponding Jacobi inequality. Combinin…
Exterior Dirichlet Problems for Hessian Quotient Equations of Mixed Type
Yu Lei, Zhisu Li
We study the exterior Dirichlet problem for the mixed Hessian quotient equation \[ \frac{σ_k(η(D^2 u))}{σ_l(η(D^2 u))} = 1, \] where . We establi…
Regularity criteria for the surface growth model with a forcing term
Yuqian Cheng, Zhisu Li, Xuening Wei
Based on a compactness method, we establish regularity criteria for suitable weak solutions to the surface growth model with a forcing term. These criteria imply that the Hölder re…
Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces
Xiaobiao Jia, Dongsheng Li, Zhisu Li
We prove that any convex viscosity solution of outside a bounded domain of tends to a quadratic polynomial at infinity with rate at least $\frac{x_n…
A Bernstein problem for special Lagrangian equations in exterior domains
Dongsheng Li, Zhisu Li, Yu Yuan
We establish quadratic asymptotics for solutions to special Lagrangian equations with supercritical phases in exterior domains. The method is based on an exterior Liouville type re…
On the exterior Dirichlet problem for special Lagrangian equations
Zhisu Li
In this paper, we establish the existence and uniqueness theorem of the exterior Dirichlet problem for special Lagrangian equations with prescribed asymptotic behavior at infinity.
On the exterior Dirichlet problem for Hessian quotient equations
Dongsheng Li, Zhisu Li
In this paper, we establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for Hessian quotient equations with prescribed asymptotic behavior…
Global estimates for singular fully nonlinear elliptic equations with right hand side terms
Dongsheng Li, Zhisu Li
We establish in this paper \emph{a priori} global estimates for singular fully nonlinear elliptic equations with right hand side terms. The method is to slide parab…
Global estimates for a type of singular fully nonlinear elliptic equations
Dongsheng Li, Zhisu Li
We obtain global estimates for a type of singular fully nonlinear elliptic equations where the right hand side term belongs to . The main idea of the proof is t…