An Elliptic Free Boundary Arising From the Jump of Conductivity

Sunghan Kim, Ki-ahm Lee, Henrik Shahgholian

In this paper we consider a quasilinear elliptic PDE, $\text{div}(A(x,u)\nabla u)=0$, where the underlying physical problem gives rise to a jump for the conductivity $A(x,u)$, a…