20.500.12556/RUL-144647 The Neumann problem for a class of generalized Kirchhoff-type potential systems 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. 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 true false true Angleški jezik Ni določen Članek v reviji 2023-03-07 07:30:06 2023-03-07 07:30:12 2023-05-18 13:29:47 0000-00-00 00:00:00 2023 0 0 33 str. art. 19 Vol. 2023 Dec. 2022 0000-00-00 Zaloznikova Objavljeno apc 0000-00-00 0000-00-00 0000-00-00 517.956 1687-2770 10.1186/s13661-023-01705-6 144015107 RAZ_Chems_Eddine_Nabil_2023.pdf RAZ_Chems_Eddine_Nabil_2023.pdf 1 28684B7CF87FC0BB2E588F0B18B9AAFC 33840f738794431d8c69f3f88fda99aa7acbe0b20e1910ccce1fea6b78b13b3e bc662580-bcb2-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=167087 https://link.springer.com/article/10.1186/s13661-023-01705-6 1 7da72e45-bcb1-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=167086 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0