A semilinear elliptic equation with a mild singularity at $u=0$: existence and homogenization

Daniela Giachetti, Pedro J. Martínez-Aparicio, François Murat

In this paper we consider semilinear elliptic equations with singularities, whose prototype is the following \begin{equation*} \begin{cases} \displaystyle - div \,A(x) D u = f(x)g(…