Work

A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions

Year: 2025

Type: article

Abstract: In this paper, we study the existence of positive solutions for a nonlocal singular elliptic coupled system involving N-Laplace operator. The source term of the system is expressed as the sum of two components: one with subcritical, critical, or supercritical exponential growth controlled by the Trudinger–Moser inequality, and the other being singular at the origin. We also investigate the asymptotic behavior of the solutions with respect to the parameters. Furthermore, we prove that no solutions exist for our system in dimension $N=2$ .

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02006-w

Authors: Rafik Guefaifia, Chahinez Bellamouchi, Salah Boulaaras, Rashid Jan

Institutions: Qassim University, University of Eloued, Near East University, Universiti Tenaga Nasional

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W4408060270

FWCI: 3.847

Cites: 19

Cited by: 2

Related to: 10