Solutions for Mass Subcritical and Supercritical Schrödinger–Bopp–Podolsky Type System With Logarithmic Nonlinearity

ABSTRACT In this paper, we study the existence of normalized solutions for the following Schrödinger–Bopp–Podolsky type system involving a logarithmic nonlinearity where is the usual ‐Laplacian operator and and are parameters. The unknowns are and the Lagrange multiplier . We show that if , there is a solution in both mass subcritical and mass supercritical cases. We show also that the solutions found converge to a solution of the related Schrödinger–Poisson type system as .