Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1

We deal with the following semilinear equation in exterior domains \[-Δu + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where $A_R:=\{x\in {\mathbb{R}}^N:|x|>R\}$, $N\ge 3…