Research demonstrates the existence of normalized solutions in mass subcritical and supercritical cases, indicating potential applications in quantum mechanics.
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 .
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Liang et al. (2025) studied this question.
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