Normalized solutions to the fractional Schrödinger equations with potential and saturable nonlinearity
This paper is concerned with the existence of normalized solutions to a kind of fractional Schrödinger equations driven by a fractional operator with a parametric potential term and a saturable nonlinear term. We achieve the minimization of the energy functional and prove the existence of normalized solutions for the equation under specific conditions that we assume for the potential and saturable nonlinearity.
Authors
- Qiongfen Zhang (ORCID: https://orcid.org/0000-0002-7037-1961)
- Wenyu Liao
Institutions
- Guilin University of Technology (CN)
Publication Details
- Journal
- Modern Mathematical Methods
- Published
- 2025-08-20
- DOI
- https://doi.org/10.64700/mmm.53
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Guangxi Province