Sign changing solutions for elliptic equations with critical growth in cylinder type domains

We prove the existence of positive and of nodal solutions for $-Δu = |u|^{p-2}u+μ|u|^{q-2}u$, $u\in {\rm H_0^1}(Ω)$, where $μ>0$ and $2<q<p=2N(N-2)$, for a class of open subsets $Ω$ of $\mathbb{R}^N$ lying between two infinite cylinders.

No reviews yet.

No comments yet.