Normalized solutions for critical Kirchhoff-Schrödinger-Poisson systems in the Heisenberg group
In this paper, we consider the existence and multiplicity of normalized solutions for critical Kirchhoff-Possion system involving $p$-sub-Laplacian in the Heisenberg group. Under suitable assumptions, combined with the truncation technique, the concentration-compactness principle, the genus theory, we obtain the existence and multiplicity of the normalized solutions in the $L^p$-subcritical case. To some extent, we extend the results of [19, 30]. Moreover, 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)
Publication Details
- Journal
- Differential and Integral Equations
- Published
- 2025-06-27
- DOI
- https://doi.org/10.57262/die038-0910-537
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00