20 citations · 28 across the 4 of their papers we have counts for
6 papers
The Asymptotic Plateau Problem for -Convex Hypersurfaces in Hyperbolic Space
Shujun Shi, Zhenan Sui
We solve the asymptotic Plateau problem in hyperbolic space for the curvature given by the normalized geometric mean of the -fold sums of the principal curvatures. For every $n\…
Universal Spacelikeness Estimates and Liouville Rigidity for Lorentzian Curvature Equations
Shujun Shi, Yuzhou Zhang
We study nonnegative entire spacelike graphs in Lorentz--Minkowski space satisfying . For and , pointwise strict spacelikeness and closed -admi…
On the solvability for a p-k-Hessian inequality
Zhenghuan Gao, Shujun Shi, Yuzhou Zhang
In this paper, we discuss the solvability of a p-k-Hessian entire inequality. We prove that the inequality with sub-lower-critical exponent admits no negative solutions. Moreover,…
On estimates for fully nonlinear parabolic equations on Riemannian manifolds
Bo Guan, Shujun Shi, Zhenan Sui
We present some new ideas to derive {\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results…
Curvature estimates for the level sets of solutions of the Monge-Ampère equation
Chuanqiang Chen, Xi-Nan Ma, Shujun Shi
For the Monge-Ampère equation , we find new auxiliary curvature functions which attain respective maximum on the boundary. Moreover, we obtain the upper bounded estim…
Curvature estimates for the level set of spatial quasiconcave solutions to a class of parabolic equations
Chuanqiang Chen, Shujun Shi
We prove a constant rank theorem for the second fundamental form of the spatial convex level surfaces of solutions to equations $u_t=F(\n^2u, \n u, u, t)$ under a structural condit…