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Sign changing solutions for elliptic equations with critical growth in cylinder typedomains
Published online by Cambridge University Press: 15 September 2002
Abstract
We prove the existence of positive and of nodal solutions for -Δu = |u|p-2u + µ|u|q-2u, $u\in {\rm H_0^1}(\Omega)$, 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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- Research Article
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- © EDP Sciences, SMAI, 2002