The Neumann problem for a class of generalized Kirchhoff-type potential systems

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

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.

• Jezik: Angleški jezik
• Ključne besede: 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
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2023
• Št. strani: 33 str.
• Številčenje: Vol. 2023, art. 19
• PID: 20.500.12556/RUL-144647
• UDK: 517.956
• ISSN pri članku: 1687-2770
• DOI: 10.1186/s13661-023-01705-6
• COBISS.SI-ID: 144015107
• Datum objave v RUL: 07.03.2023

Gradivo je del revije

• Naslov: Boundary value problems
• Skrajšan naslov: Bound. value probl.
• Založnik: Springer Nature
• ISSN: 1687-2770
• COBISS.SI-ID: 62113025

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.