Existence results of some p(u)-Laplacian systems

	Existence results of some p(u)-Laplacian systems
International Journal of Nonlinear Analysis and Applications
مقاله 245، دوره 13، شماره 2، مهر 2022، صفحه 3073-3082 اصل مقاله (396.99 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27135.3509
نویسندگان
Said Ait Temghart^* ؛ Chakir Allalou؛ Khalid Hilal
LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Morocco
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
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