13 citations · 21 across the 14 of their papers we have counts for
5 papers · 2 filters
Solution of the anisotropic porous medium equation in under an -initial value
Huaiyu Jian, Binheng Song
Consider the anisotropic porous medium equation, where satisfying $\sum…
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
Bo Guan, Huaiyu Jian, Richard M. Schoen
We are concerned with spacelike convex hypersurfaces of positive constant (K-hypersurfaces) or prescribed Gauss curvature in Minkowski space. Our main purpose is to study entire so…
Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
Huaiyu Jian
In this paper, we study the existence, uniqueness and asymptotic behavior of rotationally symmetric translating solitons of the mean curvature flow in Minkowski space. We also stud…
Hessian Equations with infinite Dirichlet boundary value
Huaiyu Jian
In this paper, we study the Hessian equation with infinite Dirichlet (blow-up) boundary value conditions. Using radial functions and techniques of ordinary differential inequality,…
Long-time existence of mean curvature flow with external force fields
Yanan Liu, Huaiyu Jian
In this paper, we study the evolution of submannifold moving by mean curvature minus a external force field. We prove that the flow has a long-time smooth solution for all time und…