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 .
Authors
- Sihua Liang (ORCID: https://orcid.org/0000-0002-4260-7762)
- Gaetano Siciliano (ORCID: https://orcid.org/0000-0001-5823-0392)
- Xueqi Sun (ORCID: https://orcid.org/0009-0003-6064-836X)
Institutions
- Changchun Normal University (CN)
- Harbin Institute of Technology (CN)
- University of Bari Aldo Moro (IT)
- Northeast Petroleum University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-08-11
- DOI
- https://doi.org/10.1002/mma.70036
- Citations
- 2
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 7.45
Funders
- National Natural Science Foundation of China