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 $u\in W_{0}^{1,p}(\Omega;\mathbb{R}^{m})$.
El Hammar,H , Ait Temghart,S , Allalou,C and Melliani,S . (2023). Existence results of quasilinear elliptic systems via Young measures. International Journal of Nonlinear Analysis and Applications, 14(1), 1111-1123. doi: 10.22075/ijnaa.2022.26962.3463
MLA
El Hammar,H , , Ait Temghart,S , , Allalou,C , and Melliani,S . "Existence results of quasilinear elliptic systems via Young measures", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1111-1123. doi: 10.22075/ijnaa.2022.26962.3463
HARVARD
El Hammar H, Ait Temghart S, Allalou C, Melliani S. (2023). 'Existence results of quasilinear elliptic systems via Young measures', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1111-1123. doi: 10.22075/ijnaa.2022.26962.3463
CHICAGO
H El Hammar, S Ait Temghart, C Allalou and S Melliani, "Existence results of quasilinear elliptic systems via Young measures," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1111-1123, doi: 10.22075/ijnaa.2022.26962.3463
VANCOUVER
El Hammar H, Ait Temghart S, Allalou C, Melliani S. Existence results of quasilinear elliptic systems via Young measures. IJNAA. 2023;14(1):1111-1123. doi: 10.22075/ijnaa.2022.26962.3463
International Journal of Nonlinear Analysis and Applications