Existence of infinitely many solutions for fractional p -Laplacian Schrödinger–Kirchhoff type equations with sign-changing potential

In this paper, we investigate the existence of infinitely many solutions for the following fractional p-Laplacian equations of Schrodinger–Kirchhoff type $$\begin{aligned} \left( a+b\iint _{{{\mathbb {R}}}^{2N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+ps}}dxdy\right) ^{p-1} (-\Delta )^s_p u+V(x)|u|^{p-2}u=f(x,u) \end{aligned}$$ in \({{\mathbb {R}}}^N\), where \(0 0\) are constants. Under some appropriate assumptions on V and f, we prove that the above problem possesses multiple solutions by utilizing some new tricks. Furthermore, our assumptions are suitable and different from those studied previously.