activity
20092022
most citedDeforming a convex hypersurface by anisotropic curvature flows

7 citations · 24 across the 8 of their papers we have counts for

collaborators

8 papers

math.DG2022★ 4 cited

A flow method for a generalization of Christofell-Minkowski problem

Boya Li, Hongjie Ju, Yannan Liu

In this paper, a generalization of the -Christoffel-Minkowski problem is studied. We consider an anisotropic curvature flow and derive the long-time existence of the flow. T…

math.DG2020★ 7 cited

Deforming a convex hypersurface by anisotropic curvature flows

Hongjie Ju, Boya Li, Yannan Liu

In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean n-space. This flow involves k-th elementary symmetric function for principal c…

math.AP2018

Estimates for Elliptic Systems in a Narrow Region arising from Composite Materials

Hongjie Ju, Haigang Li, Longjuan Xu

In this paper, we establish the pointwise upper and lower bounds of the gradients of solutions to a class of elliptic systems, including linear systems of elasticity, in a general…

math.AP2018★ 6 cited

The convexity of inclusions and gradient's concentration for Lamé systems with partially infinite coefficients

Yuanyuan Hou, Hongjie Ju, Haigang Li

It is interesting to study the stress concentration between two adjacent stiff inclusions in composite materials, which can be modeled by the Lamé system with partially infinite co…

math.AP2018★ 1 cited

Blowup Analysis for the Perfect Conductivity Problem with convex but not strictly convex inclusions

Hongjie Ju, Haigang Li, Longjuan Xu

In the perfect conductivity problem, it is interesting to study whether the electric field can become arbitrarily large or not, in a narrow region between two adjacent perfectly co…

math.AP2017★ 5 cited

Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients

Jiguang Bao, Hongjie Ju, Haigang Li

In this paper, we derive the pointwise upper bounds and lower bounds on the gradients of solutions to the Lamé systems with partially infinite coefficients as the surface of discon…

math.AP2010★ 1 cited

Existence of translating solutions to the flow by powers of mean curvature on unbounded domains

Huai-Yu Jian, Hong-Jie Ju

In this paper, we prove the existence of classical solutions of the Dirichlet problem for a class of quasi-linear elliptic equations on unbounded domains like a cone or a U-type do…

math.AP2009

Properties of Translating Solutions to Mean Curvature Flow

Changfeng Gui, Huaiyu Jian, Hongjie Ju

In this paper, we study the convexity, interior gradient estimate, Liouville type theorem and asymptotic behavior at infinity of translating solutions to mean curvature flow as wel…