Title: Multiple nodal solutions of nonlinear Choquard equations,
Abstract: In this paper, we consider the existence of multiple nodal solutions of the
nonlinear Choquard equation \begin{equation*} \ \ \ \ (P)\ \ \ \ \begin{cases}
-\Delta u+u=(|x|^{-1}\ast|u|^p)|u|^{p-2}u \ \ \ \text{in}\ \mathbb{R}^3, \ \ \
\ \\ u\in H^1(\mathbb{R}^3),\\ \end{cases} \end{equation*} where $p\in
(\frac{5}{2},5)$. We show that for any positive integer $k$, problem $(P)$ has
at least a radially symmetrical solution changing sign exactly $k$-times.