Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential
In this paper, we study the multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential. First, by using some ideas of the fountain theorem, we define a sequence of minimax values, and then we prove that these minimax values are critical values of the energy function restricted to a constraint set, which leads to the multiplicity of normalized solutions and extends some related results.
Authors
- Xinsheng Du (ORCID: https://orcid.org/0000-0002-7458-0568)
- Shanshan Wang
Institutions
- Qufu Normal University (CN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2024-11-20
- DOI
- https://doi.org/10.1186/s13661-024-01968-7
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00