12 citations · 18 across the 19 of their papers we have counts for
16 papers · 1 filter
The symmetric maximal surface equation
Rongli Huang, Peihe Wang, Hengyu Zhou
We establish the existence of smooth solutions to the symmetric maximal surface equation with degenerate boundary conditions. Moreover, we prove that these solutions maximize the a…
The Dirichlet problem for the minimal surface system on smooth domains
Caiyan Li, Hengyu Zhou
In this paper, we propose a new assumption (1.2) that involves a small oscillation and norms for maps from smooth bounded domains into Euclidean spaces. Furthermore, by assum…
A note on $\tmd$-operator
Dexie Lin, Hengyu Zhou
In almost Kähler manifolds, one of the challenges is to construct an elliptic operator on functions that plays a role analogous to the operator in complex…
Prescribed mean curvature hypersurfaces in conformal product manifolds
Qiang Gao, Hengyu Zhou
In this paper, we establish the existence of prescribed mean curvature (PMC) hypersurfaces in conformal product manifolds with (possibly empty) fixed graphical boundaries…
A blow-up method to prescribed mean curvature graphs with fixed boundaries
Hengyu Zhou
In this paper, we apply a blow-up method of Schoen and Yau in \cite{SY81} to study a large class of prescribed mean curvature (PMC) Dirichlet problems in -dimensional R…
The area minimizing problem in conformal cones, II
Qiang Gao, Hengyu Zhou
In this paper we continue to study the connection among the area minimizing problem, certain area functional and the Dirichlet problem of minimal surface equations in a class of co…
The area minimizing problem in conformal cones
Qiang Gao, Hengyu Zhou
In this paper we study the area minimizing problem in some kinds of conformal cones. This concept is a generalization of the cones in Eulcidean spaces and the cylinders in product…
Generalized solutions to the Dirichlet problem of translating mean curvature equations
Hengyu Zhou
In this paper we study the Dirichlet problem of translating mean curvature equations over domains in Riemannian manifolds with dimension . Imitating the generalized solution the…
Mean Curvature Type Flows of Graphs in Product Manifolds
Aijin Lin, Hengyu Zhou
In this note we study a large class of mean curvature type flows of graphs in product manifold where N is a closed Riemann- ian manifold. Their speeds are the mean curv…
The boundary behavior of domains with complete translating, minimal and CMC graphs in
Hengyu Zhou
In this note we discuss graphs over a domain in the product manifold . Here is a complete Riemannian surface and has peice-wise smoot…
Mean Curvature Flows of Closed Hypersurfaces in Warped Product Manifolds
Zheng Huang, Zhou Zhang, Hengyu Zhou
We investigate the mean curvature flows in a class of warped product manifolds with closed hypersurfaces fibering over . In particular, we prove that under natural cond…
Nonparametric mean curvature type flows of graphs with contact angle conditions
Hengyu Zhou
In this paper we study nonparametric mean curvature type flows in which are represented as graphs over a domain in a Riemannian manifold with p…
Inverse mean curvature flows in warped product manifolds
Hengyu Zhou
We study inverse mean curvature flows of starshaped, mean convex hypersurfaces in warped product manifolds with a positive warping factor . If and , w…
Curve shortening flows in warped product manifolds
Hengyu Zhou
We study curve shortening flows in two types of warped product manifolds. These manifolds are with two types of warped metrics where is the unit circle in …
A Bernstein type result for graphical self-shrinkers in
Hengyu Zhou
Self-shrinkers are important geometric objects in the study of mean curvature flows, while the Bernstein Theorem is one of the most profound results in minimal surface theory. We p…
The curve shortening flow with parallel 1-form
Hengyu Zhou
Let be a closed Riemannian manifold with a parallel 1-form . We prove two theorems about the curve shortening flow in . One is that the {\csf} $\ct$ in exists for all…