Normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group
In this paper, we consider the existence and multiplicity of normalized solutions for critical Choquard equations involving logarithmic nonlinearity in the Heisenberg group. Under suitable assumptions, combined with the truncation technique, the concentration‐compactness principle, and the genus theory, we obtain the existence and multiplicity of the normalized solutions in the ‐subcritical case. As far as we know, the result of the paper is completely new in the Euclidean case.
Authors
- Sihua Liang (ORCID: https://orcid.org/0000-0002-4260-7762)
- Lifeng Guo (ORCID: https://orcid.org/0000-0003-0519-4791)
- Xuechun Zheng
Institutions
- Changchun Normal University (CN)
- Northeast Petroleum University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-09-30
- DOI
- https://doi.org/10.1002/mma.10528
- Citations
- 5
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 4.45