Work

Multiple solutions to a nonlocal sub-Laplacian system with critical growth and logarithmic perturbation

Year: 2025

Type: article

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\rightarrow \infty}z_k = 0 $. To the best of our knowledge, this result is new even in the Euclidean case.

Source: AIMS Mathematics

DOI: 10.3934/math.2025482

Authors: Yu-Cheng An, Bi-Jun An

Institutions: Guizhou University of Engineering Science, Guizhou Minzu University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: Guizhou University, Guizhou University of Engineering Science