2 papers
math.AP2025
Gradient estimates for the insulated conductivity problem with partially flat inclusions
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the insulated conductivity problem with inclusions embedded in a bounded domain in . It was known that in the setting of strictly convex inclusions, the grad…
math.AP2024
Gradient estimates for the conductivity problem with imperfect bonding interfaces
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the field concentration phenomenon between two closely spaced perfect conductors with imperfect bonding interfaces of low conductivity type. The boundary condition on thes…