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Existence of solutions for a quasilinear elliptic system with variable exponent | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 16، دوره 12، شماره 2، بهمن 2021، صفحه 205-217 اصل مقاله (415.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.18418.2011 | ||
| نویسندگان | ||
| Elhoussine Azroul؛ Farah Balaadich* | ||
| University of Sidi Mohamed Ben Abdellah, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, Fez, Morocco | ||
| تاریخ دریافت: 11 مرداد 1398، تاریخ بازنگری: 06 آبان 1398، تاریخ پذیرش: 07 آبان 1398 | ||
| چکیده | ||
| We consider the following quasilinear elliptic system in a Sobolev space with variable exponent: \[-\text{div}(a(|Du|)Du)=f,\] where $a$ is a $C^1$-function and $f\in W^{-1,p'(x)}(\Omega;\R^m)$. We use the theory of Young measures and weak monotonicity conditions to obtain the existence of solutions. | ||
| کلیدواژهها | ||
| Quasilinear elliptic systems؛ Sobolev spaces with variable exponent؛ Weak solutions؛ Young measures | ||
| مراجع | ||
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