We study the existence of normalized solutions to the following p-Laplacian Choquard equation \(\begin{aligned} -\Delta _pu+\lambda |u|^{p-2}u=|u|^{p-2}u\log {|u|^p}+\mu (I_{\alpha }*|u|^q)|u|^{q-2}u \quad \text {in } \mathbb {R}^N, \end{aligned}\) having prescribed mass \(\begin{aligned} \int _{\mathbb {R}^N}|u|^pdx=c^p, \end{aligned}\) where \(c>0\) , \(\lambda \in \mathbb {R}\) is the Lagrange multiplier, \(*\) indicates the convolution operator and \(\Delta _p u=\textrm{div}\left( |\nabla u|^{p-2}\nabla u\right) \) denotes the usual p-Laplacian operator with \(2\le p<N\) . Under different assumptions on c and q, on the one hand, we proved the existence of the normalized ground state solution if \(p_{\alpha }=\frac{(N+\alpha )p}{2N}<q<\bar{p}=\frac{p(p+N+\alpha )}{2N}\) , on the other hand, we obtained the existence of one local minimum type solution and one mountain pass solution with the prescribed mass \(c\in (0,c_0)\) if \(\bar{p}<q<p_{\alpha }^*=\frac{(N+\alpha )p}{2(N-p)}\) . In addition, the detailed elaboration is provided for the best constant of interpolation inequality as well as the by-product of the proof process such as a compact embedding result.
