@article{An2025, 
author = {Yu-Cheng An and Bi-Jun An},
title = {Multiple solutions to a nonlocal sub-Laplacian system with critical growth and logarithmic perturbation},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {10605-10623},
keywords = {sub-Laplacian system, critical growth, logarithmic perturbation, symmetric mountain pass lemma, multiple solutions, Heisenberg group},
url = {https://www.sciopen.com/article/10.3934/math.2025482},
doi = {10.3934/math.2025482},
abstract = {In this paper, we studied the existence of solutions for a nonlocal sub-Laplacian system with critical growth and logarithmic perturbation. That is to say, by using the symmetric mountain pass lemma, we proved that under some suitable conditions, the nonlocal sub-Laplacian system admits a sequence    {      z    k    } of nontrivial solutions satisfying        lim          k      →      ∞            z    k    =  0. To the best of our knowledge, this result is new even in the Euclidean case.}
}