@article{Zheng2025, 
author = {Xuechun Zheng and Lifeng Guo and Sihua Liang},
title = {Existence of positive solution for critical Schrödinger-Poisson system on the first Heisenberg group},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {11},
pages = {7052-7064},
keywords = {Heisenberg group, Schrödinger-Poisson system, concentration-compactness principle, variational methods},
url = {https://www.sciopen.com/article/10.3934/era.2025311},
doi = {10.3934/era.2025311},
abstract = {In this article, we consider a class of critical Schrödinger-Poisson type systems on the first Heisenberg group. We demonstrate that the system admits a positive ground state solution by utilizing the concentration compactness principle and critical point theory. The system has double critical nonlinearity on the Heisenberg group, which is the novelty and peculiarity of this paper. To some extent, we extend some previous results.}
}