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arXiv · 1407.5950

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

Pedro M. Girão·Miguel Ramos
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Abstract

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.

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Pedro M. Girão, Miguel Ramos. 2014-07-22. Sign changing solutions for elliptic equations with critical growth in cylinder type domains. https://doi.org/10.1051/cocv%3A2002061

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