Positive or sign-changing solutions for a critical semilinear nonlocal equation

Wei Long, Jing Yang

We consider the following critical semilinear nonlocal equation involving the fractional Laplacian $$(-\Delta {)}^{s}u=K(|x|)|u{|}^{2_s^{\ast }-2}u,in{\mathbb{R}}^N,$$ where $K(|x|)$…