| Abstract: |
| In this paper, we investigate the nonnegative solutions of systems involving the fractional Laplacian:
\begin{equation}
\left\{
\begin{array}{lll}
(-\Delta)^\alpha u_i(x)=f_i(u),\quad x\in\mathbb{R}^N,
\quad i=1,2,\cdots,m,\nonumber\
u(x)=(u_1(x),u_2(x),\cdots,u_m(x)),\nonumber\
\end{array}\right.
\end{equation}
where $0 |
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