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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 | ||
| تاریخ دریافت: 20 اردیبهشت 1401، تاریخ پذیرش: 13 تیر 1401 | ||
| 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 | ||
| مراجع | ||
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