A supercritical elliptic problem in a cylindrical shell

Mónica Clapp, Andrzej Szulkin

We consider the problem \[ -Δu=|u|^{p-2}u in Ω, u=0 on \partialΩ, \] where $\Omega :=\{(y,z)\in {\mathbb{R}}^{m+1}\times {\mathbb{R}}^{N-m-1}:0<a<|y|<b<\infty \}$, $0\le m\le N-1$ and $N\geq…