Positive solutions to a supercritical elliptic problem which concentrate along a thin spherical hole

Mónica Clapp, Jorge Faya, Angela Pistoia

We consider the supercritical problem \[ -Δv=|v|^{p-2}v in Θ_ε, v=0 on \partialΘ_ε, \] where $\Theta$ is a bounded smooth domain in ${\mathbb{R}}^N$, $N\ge 3$, $p>2^{\ast }:=2N/(N-2)$, a…