| Contents |
| In this presentation, we provide some existence, nonexistence, and classification of positive
solutions for Hardy-Littlewood-Sobolev type systems:
{\color{blue}{\begin{equation} \left \{
\begin{array}{l}
(-\Delta)^{\gamma/2} u = v^q , \;\; u>0, \mbox{ in } R^n,\\
(-\Delta)^{\gamma/2} v = u^p, \;\; v>0, \mbox{ in } R^n.
\end{array}
\right. \label{pde}
\end{equation} }}
In deriving these results, some useful methods are created.
We will briefly introduce the degree theory approach for shooting method and some other related methods. |
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