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arXiv:1202.1013 [math.AP]AbstractReferencesReviewsResources

Non-radial solutions of the problem $-Δu = |u|^{4/(n-2)}u$ in $R^n$, $n\geq3$

Nikos Labropoulos

Published 2012-02-05, updated 2012-05-20Version 2

We prove the existence of an infinite sequence of distinct non-radial nodal $G-$invariant solutions for the following critical nonlinear elliptic problem: $({\mathrm{P}})\quad {*{20}c} {-\Delta u = |u|^{4/(n-2)}u},\quad u\in C^2(\mathbb{R}^n), \quad n\geq3}$

Comments: This paper has been withdrawn by the author due to a significant omission in the main theorem
Categories: math.AP, math-ph, math.MP
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