Multiple Normalized Solutions for Logarithmic Schrödinger‐Poisson System

ABSTRACT This paper investigates the existence of multiple normalized solutions for the following logarithmic Schrödinger‐Poisson system: where , , and stands for an undetermined Lagrange multiplier. In addition, represents a coupling function, denotes a continuous positive‐valued function, and signifies a continuous nonlinear term satisfying the ‐subcritical growth criterion. By resorting to Ekeland's variational principle, we demonstrate that when the parameters and are taken to be sufficiently small, the number of normalized solutions is bounded below by the count of global maximum points of the function . Our results partially extend and generalize some results in [8, 9, 27, 28].