Showing math.APShow all
3 papers · 1 filter
math.AP2025
Optimal gradient estimates for conductivity problems with imperfect low-conductivity interfaces
Hongjie Dong, Haigang Li, Yan Zhao
This paper studies field concentration between two nearly touching conductors separated by imperfect low-conductivity interfaces, modeled by Robin boundary conditions. It is known…
math.AP2024
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…
math.AP2024
Optimal gradient estimates for the insulated conductivity problem with general convex inclusions case
Haigang Li, Yan Zhao
We study the insulated conductivity problem which involves two adjacent convex insulators embedded in a bounded domain. It is known that the gradient of solutions may blow up as th…