摘要:This paper is devoted to studying the following nonlinear fractional problem: 0.1 $$ \textstyle\begin{cases} (-\Delta )^{s}u u=K( \vert x \vert )u^{p},\quad u>0, x\in {\mathbb{R}}^{N}, \\ u(x)\in H^{s}({\mathbb{R}}^{N}), \end{cases} $$ where $N\geq 3$ , $0< s<1$ , $1< p<\frac{N 2s}{N-2s}$ , $K( x )$ is a positive radical function. We constructed infinitely many non-radial solutions of the new type which have a more complex concentration structure for (0.1).