Existence results of quasilinear elliptic systems via Young measures

	Existence results of quasilinear elliptic systems via Young measures
International Journal of Nonlinear Analysis and Applications
مقاله 85، دوره 14، شماره 1، فروردین 2023، صفحه 1111-1123 اصل مقاله (418.69 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26962.3463
نویسندگان
Hasnae El Hammar؛ Said Ait Temghart؛ Chakir Allalou^* ؛ Said Melliani
Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay slimane University, Morocco
چکیده
This paper is concerned with the following quasilinear elliptic system \[\begin{cases} -\operatorname{div}(a(\|D u\|) D u)= f(x,u,Du) \qquad \text { in }\; \Omega \\ u =0 \qquad \qquad\;\qquad\qquad\qquad\;\;\qquad\text { on }\; \;\partial \Omega, \end{cases}\] where $\Omega$ is a bounded open subset of $\mathbb{R}^n$. By means of the Young measure and the theory of Sobolev spaces, we obtain the existence of a weak solution $u\in W_{0}^{1,p}(\Omega;\mathbb{R}^{m})$.
کلیدواژه‌ها
Quasilinear elliptic systems؛ Weak solutions؛ Young measures
آمار تعداد مشاهده مقاله: 17,525 تعداد دریافت فایل اصل مقاله: 12,509

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