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\rightarrow \infty}z_k = 0 $. To the best of our knowledge, this result is new even in the Euclidean case.
Citation: Yu-Cheng An, Bi-Jun An. Multiple solutions to a nonlocal sub-Laplacian system with critical growth and logarithmic perturbation[J]. AIMS Mathematics, 2025, 10(5): 10605-10623. doi: 10.3934/math.2025482
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\rightarrow \infty}z_k = 0 $. To the best of our knowledge, this result is new even in the Euclidean case.
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Yu-Cheng An, Bi-Jun An. Multiple solutions to a nonlocal sub-Laplacian system with critical growth and logarithmic perturbation[J]. AIMS Mathematics, 2025, 10(5): 10605-10623. doi: 10.3934/math.2025482
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