31 citations · 67 across the 12 of their papers we have counts for
12 papers
Prescribed Webster scalar curvature flow on CR manifold
Pak Tung Ho, Quoc Anh Ngo, Hong Zhang
Using the prescribed Webster scalar curvature flow, we prove some existence results on the 3-dimensional compact CR manifold with nonnegative CR Yamabe constant.
Bubbling of the prescribed -curvature equation on -manifolds in the null case
Quôc Anh Ngô, Hong Zhang
Analog to the classical result of Kazdan-Warner for the existence of solutions to the prescribed Gaussian curvature equation on compact 2-manifolds without boundary, it is widely k…
Prescribing sign-changing mean curvature candidates on the n+1-dimensional unit ball
Hong Zhang
This paper focuses on the problem of prescribing mean curvature on the unit ball. Assume that , which is allowed to change sign, satisfies Morse index counting or certain kind o…
Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts
Hongjie Dong, Tianling Jin, Hong Zhang
We obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order with rough and non-symmetric kernels, and drift terms. We…
Scalar curvature flow on S^n to a prescribed sign-changing function
Hong Zhang
In this paper, we consider the problem of prescribing scalar curvature on n-sphere. Assume that the candidate curvature function , which is allowed to change sign, satisfies som…
Prescribed -curvature flow on closed manifolds of even dimension
Quôc Anh Ngô, Hong Zhang
On a closed Riemannian manifold of even dimension , the well-known prescribed -curvature problem asks whether or not there is a metric comformal to…
Dini estimates for nonlocal fully nonlinear elliptic equations
Hongjie Dong, Hong Zhang
We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order with rough and non-symmetric kernels. The proof is based on a…
On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations
Hongjie Dong, Hong Zhang
We obtain Schauder estimates for a class of concave fully nonlinear nonlocal parabolic equations of order with rough and non-symmetric kernels. As a application, we pr…
On an elliptic equation arising from composite materials
Hongjie Dong, Hong Zhang
In this paper, we derive an interior Schauder estimate for the divergence form elliptic equation \begin{equation*} D_i(a(x)D_iu)=D_if_i \end{equation*} in , where $a(…
Neumann problem for non-divergence elliptic and parabolic equations with BMO coefficients in weighted Sobolev spaces
Hongjie Dong, Doyoon Kim, Hong Zhang
We prove the unique solvability in weighted Sobolev spaces of non-divergence form elliptic and parabolic equations on a half space with the homogeneous Neumann boundary condition.…
Conormal problem of higher-order parabolic systems
Hongjie Dong, Hong Zhang
The paper is a comprehensive study of the and the Schauder estimates for higher-order divergence type parabolic systems with discontinuous coefficients in the half space and…
The Schauder estimates for higher-order parabolic systems with time irregular coefficients
Hongjie Dong, Hong Zhang
We prove Schauder estimates for solutions to both divergence and non-divergence type higher-order parabolic systems in the whole space and the half space. We also provide an existe…