@Article{JPDE-27-2,
author = {Kamel, Akrout and Rafik, Guefaifia},
title = {Existence and Nonexistence of Weak Positive Solution for a Class of <em>p</em>-Laplacian Systems},
journal = {Journal of Partial Differential Equations},
year = {2014},
volume = {27},
number = {2},
pages = {158--165},
abstract = {In this work, we are interested to obtain some result of existence and nonexistence of positive weak solution for the following p-Laplacian system $$\begin{equation}\begin{case}-Δ_{pi}u_i=λ_if_i (u_1,…,u_m),\qquad in\;Ω,\;\;i=1,…,m,\\ui=0,\qquad on ∂Ω,\;\;∀i=1,…,m,\end{case}\end{equation}$$ where Δ_{pi}z=div(|∇z|^{pi-2}∇z), pi ≥ 1,λ_i,1 ≤ i ≤ m are a positive parameter, and Ω is a bounded domain in \mathbb{R}^N with smooth boundary ∂Ω. The proof of the main results is based to the method of sub-supersolutions.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v27.n2.6},
url = {https://global-sci.com/article/88300/existence-and-nonexistence-of-weak-positive-solution-for-a-class-of-empem-laplacian-systems}
}