1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2023
Asymptotics of the solution to the perfect conductivity problem with -Laplacian
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the perfect conductivity problem with closely spaced perfect conductors embedded in a homogeneous matrix where the current-electric field relation is the power law $J=σ|E|…
math.AP2022★ 1 cited
Gradient estimates for the insulated conductivity problem: the non-umbilical case
Hongjie Dong, Yanyan Li, Zhuolun Yang
We study the insulated conductivity problem with inclusions embedded in a bounded domain in , for . The gradient of solutions may blow up as , th…
math.AP2018
Asymptotics of the gradient of solutions to the perfect conductivity problem
HaiGang Li, YanYan Li, ZhuoLun Yang
In the perfect conductivity problem of composite material, the gradient of solutions can be arbitrarily large when two inclusions are located very close. To characterize the singul…