Year: 2025
Type: article
Abstract: This paper investigates the existence and multiplicity of positive solutions for a system of generalized Laplacian problems. By analyzing the asymptotic behavior of the nonlinearity, we establish conditions for the existence of positive solutions and the presence of multiple positive solutions. Our main results reveal how the norm of the positive solutions behaves as the parameter λ approaches 0 or ∞, specifically that the norm tends to either 0 or ∞.
Source: Mathematics
DOI: 10.3390/math13203322
Author: Chan-Gyun Kim
Institution: Chinju National University of Education
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4415284016