ǂThe ǂNeumann problem for a class of generalized Kirchhoff-type potential systems

Nabil Chems Eddine (Author), Dušan Repovš (Author)

Abstract

In this paper, we are concerned with the Neumann problem for a class of quasilinear stationary Kirchhoff-type potential systems, which involves general variable exponents elliptic operators with critical growth and real positive parameter. We show that the problem has at least one solution, which converges to zero in the norm of the space as the real positive parameter tends to infinity, via combining the truncation technique, variational method, and the concentration–compactness principle for variable exponent under suitable assumptions on the nonlinearities.

Keywords

Kirchhoff-type problems;Neumann boundary conditions;p(x)-Laplacian operator;generalized capillary operator;Sobolev spaces with variable exponent;critical Sobolev exponents;concentration–compactness principle;critical point theory;truncation technique;

Data

Language:	English
Year of publishing:	2023
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	517.956
COBISS:	144015107
ISSN:	1687-2770
Views:	86
Downloads:	40
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	art. 19 (33 str.)
Issue:	ǂVol. ǂ2023
Chronology:	Dec. 2022
DOI:	10.1186/s13661-023-01705-6
ID:	18187492