Existence results of some p(u)-Laplacian systems

نویسندگان
Allalou, Chakir ID 1
Hilal, Khalid ID 2
Ait Temghart, Said ID 3

1 LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Morocco

2 LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Morocco

3 LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Morocco

doi
10.22075/ijnaa.2022.27135.3509
چکیده

In this paper, we consider the existence of weak solutions for some $p(u)$-Laplacian problems with Dirichlet boundary conditions. Here the exponent of nonlinearity $p$ depends on the solution $u$ itself. Existence results for the associated boundary-value local problem are given by using a singular perturbation technique combined with the theory of Sobolev spaces with exponent variables.

کلیدواژه‌ها
Local problem, weak solution, Sobolev spaces