Approximation of Relaxed Dirichlet Problems by Boundary Value problems in perforated domains

Gianni Dal Maso, Annalisa Malusa

Given an elliptic operator~$L$ on a bounded domain~$\Omega \subseteq {\mathbf{R}}^n$, and a positive Radon measure~$\mu$ on~$\Omega$, not charging polar sets, we discuss an explicit approximation pr…