4 citations · 5 across the 7 of their papers we have counts for
8 papers
Regularity Global Estimates for Homogeneous Complex Hessian Equations on Punctured Domains
Zhenghuan Gao, Xi-Nan Ma, Bao Yu +1
In this paper, we prove the regularity of Green functions associated with the complex -Hessian operator for , and give a new proof of the corresponding regu…
On the Viscosity Solutions of Parabolic p-Laplacian Equations with Capillary-Type Boundary Conditions
Zhenghuan Gao, Jin Yan, Yang Zhou
In this paper, we establish the well-posedness and large-time asymptotic behavior of viscosity solutions to singular/degenerate parabolic -Laplacian equations with general capil…
The Dirichlet problem of homogeneous complex k-Hessian equation in a (k-1)-pesudoconvex domain with isolated singularity
Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang
In this paper, we consider the homogeneous complex k-Hessian equation in . We prove the existence and uniqueness of the solution by constructing approxi…
The Dirichlet problem of the homogeneous -Hessian equation in a punctured domain
Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang
In this paper, we consider the Dirichlet problem for the homogeneous -Hessian equation with prescribed asymptotic behavior at where is a -convex bounded domai…
A Mean Curvature Flow with Prescribed Contact Angles in a High Dimensional Cylinder
Zhenghuan Gao, Bendong Lou, Jinju Xu
In this paper we consider a mean curvature flow in a high dimensional cylinder , where, is a constant, is a bounded domain in , and, for a hypersu…
Serrin-type overdetermined problems for Hessian quotient equations
Zhenghuan Gao, Xiaohan Jia, Dekai Zhang
We prove the symmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely Hessian quotient equations and Hessian quotient curvature equations.…
The exterior Dirichlet Problem for homogeneous complex -Hessian equation
Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang
In this paper, we consider the homogeneous complex k-Hessian equation in an exterior domain . We prove the existence and uniqueness of the solutio…
Serrin-type Overdetermined problems in
Zhenghuan Gao, Xiaohan Jia, Jin Yan
In this paper, we prove the symmetry of the solution to overdetermined problem for the equation in hyperbolic space. Our approach is based on establishing a Re…