Work

Existence of ground state solution for critical N -Laplacian Kirchhoff-type problem with convolution nonlinearity

Year: 2025

Type: article

Abstract: In this paper, we investigate the following N-Laplacian Kirchhoff–Choquard-type equation involving the critical exponential growth nonlinearity of Trudinger–Moser-type: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text]. We develop some delicate analyses to deal with the challenges caused by the quasilinear characteristic and the convolution term. By employing variational methods, we establish the existence of the ground state solution for above equation and succeed in finding a fine threshold to control the minimax level. In particular, for the autonomous case where [Formula: see text], the ground state solution is established by using the concentration compactness argument and some detailed estimates.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360725500134

Authors: Lizhen Lai, Dongdong Qin, Die Hu, Jing Zhang

Institutions: Central South University, Fuyang Normal University, Guangdong University of Foreign Studies

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411499538

FWCI: 18.76

Cites: 46

Cited by: 10

Related to: 10