Abstract
In this paper, we consider the following fractional Schrodinger-Poisson problem, $$\begin{cases}\epsilon^{2s}(-\Delta)^{s}u+V(x)u+\phi{u}=\mid{u}\mid^{p-1}u, & x\in\mathbb{R}^N,\\(-\Delta)^t\phi=u^2, & x\in\mathbb{R}^N,\end{cases}$$ where e > 0 is a small parameter, N ⩾ 3 and V(x) is a potential function. We construct non-radial sign-changing solutions, whose components may have spikes clustering at the local minimum point of V(x).
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