Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth
ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions. Also, the orbital stability of standing waves is obtained under local well‐posedness assumptions of the evolution problem.
Authors
- Marco Squassina (ORCID: https://orcid.org/0000-0003-0858-4648)
- Hua Jin (ORCID: https://orcid.org/0000-0002-2395-4988)
- Jianjun Zhang (ORCID: https://orcid.org/0000-0001-7172-0855)
- Y. Austin Chang
Institutions
- Università Cattolica del Sacro Cuore (IT)
- China University of Mining and Technology (CN)
- Chongqing Jiaotong University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1002/mma.11028
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities