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

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

2012-02-05

arxiv.org/abs/1202.1013v1

Mathematics

Analysis of PDEs

Scientific paper

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

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