In the present work we are concerned with the existence of normalized solutions to the following Schr\"odinger-Poisson System $$ \left\{ \begin{ array}{ ll} -\Delta u + \lambda u + \mu (\ln|\cdot|\ast |u|^{ 2})u = f(u) \textrm{ \ in \ } \mathbb{ R}^2 , \\ \intR |u(x)|^2 dx = c,\ c> 0 , \end{ array} \right. $$ for $\mu \in \R $ and a nonlinearity $f$ with exponential critical growth. Here $ \lambda\in \R$ stands as a Lagrange multiplier and it is part of the unknown. Our main results extend and/or complement some results found in \cite{ Ji} and \cite{ [cjj]}.
Categories: math.AP