5 citations · 18 across the 12 of their papers we have counts for
22 papers · 1 filter
Optimal boundary gradient estimates for the insulated conductivity problem
Haigang Li, Yan Zhao
In this paper we study the boundary gradient estimate of the solution to the insulated conductivity problem with the Neumann boundary data when a convex insulating inclusion approa…
The Dirichlet problem for Hessian quotient equations on exterior domains
Tangyu Jiang, Haigang Li, Xiaoliang Li
In this paper, we consider the exterior Dirichlet problem for Hessian quotient equations with the right hand side , where is a positive function and near i…
Blow-up analysis of hydrodynamic forces exerted on two adjacent -convex particles
Haigang Li, Xueting Wang, Zhiwen Zhao
In a viscous incompressible fluid, the hydrodynamic forces acting on two close-to-touch rigid particles in relative motion always become arbitrarily large, as the interparticle dis…
On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations
Tangyu Jiang, Haigang Li, Xiaoliang Li
In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equatio…
Hessian quotient equations on exterior domains
Haigang Li, Xiaoliang Li, Shuyang Zhao
It is well-known that a celebrated Jörgens-Calabi-Pogorelov theorem for Monge-Ampère equations states that any classical (viscosity) convex solution of in $\mathbb{R…
Asymptotics for the electric field concentration in the perfect conductivity problem
Haigang Li
In the perfect conductivity problem of composite material, the electric field concentrates in a narrow region in between two inclusions and always becomes arbitrarily large when th…