| Contents |
| In this talk, we study the following
Schr\"{o}dinger-Poisson system
\begin{align*}
\left\{
\begin{array}{lll}
-\Delta u+V(x)u+K(x)\phi u=f(x,u), \quad &x\in\mathbb{R}^{3},\\
-\Delta \phi =K(x) u^{2},&x\in\mathbb{R}^{3},
\end{array}
\right.
\end{align*}
where $f(x,s)$ is asymptotically linear with respect to $s$ at infinity.
Under appropriate assumptions on $V$ and $K$, the existence and nonexistence
results are obtained via variational methods. |
|