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. & Melliani, S. (2023). Existence results of quasilinear elliptic systems via Young measures. International Journal of Nonlinear Analysis and Applications, 14(1), 1111–1123. https://doi.org/10.22075/ijnaa.2022.26962.3463
MLA
El Hammar, H., Ait Temghart, S., Allalou, C., & 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
El Hammar, H., Ait Temghart, S., Allalou, C. & 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
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