This work proves existence of a positive solution in the logarithmic Schrödinger–Bopp–Podolsky system, indicating effective variational methods.
This paper deals with the logarithmic Schrödinger–Bopp–Podolsky system with a saddle‐like potential. By using a special minimax level and the variational method developed by Szulkin for functionals that are the sum of a smooth functional and a convex lower semicontinuous functional, we prove the existence of a positive solution when the parameters of the system are sufficiently small.
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Yuan et al. (2025) studied this question.
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