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

Abstract

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