Sign changing solutions of some integral equaitons with critical sobolev exponents

Chen Shibing

In this note we prove that: \begin{theorem} for $2\le s<\frac{n}{2}$ or $1\le s<\frac{2n}{n+1}$ or $1\le s<\frac{n}{2}$ but n is even, $(-\Delta {)}^s(u)=|u{|}^{q-2}u,q=\frac{2n}{n-2s}$…