Solutions with clustering concentration layers to the Ambrosetti-Prodi type problem

Qiang Ren

We consider the following Ambrosetti-Prodi type problem \begin{equation} \left\{\begin{array}{ll} -\mathrm{div} (A(x)\nabla u)=|u|^p-t\mathbfΨ(x), &\mbox{in $\hat{I}\text{c◯}$,} \\ u=0, & \mbox…