1LAMIS Laboratory, Tebessa University, Tebessa, Algeria
2LANOS Laboratory, Badji Mokhtar University, Annaba, Algeria
International Journal of Partial Differential Equations and Applications.
2013,
Vol. 1 No. 1, 13-17
DOI: 10.12691/ijpdea-1-1-3
Copyright © 2013 Science and Education PublishingCite this paper: Guefaifia Rafik, Akrout Kamel, Saifia Warda. Existence and Nonexistence of Weak Positive Solution for Classes of 3 × 3 P-Laplacian Elliptic Systems.
International Journal of Partial Differential Equations and Applications. 2013; 1(1):13-17. doi: 10.12691/ijpdea-1-1-3.
Correspondence to: Akrout Kamel, LAMIS Laboratory, Tebessa University, Tebessa, Algeria. Email:
akroutkamel@gmail.comAbstract
In this work, we are interested to obtain some result of existence and nonexistence of large positive weak solution for the following p-laplacian system

where

λ, µ and ν are a positive parameter, and Ω is a bounded domain in

with smooth boundary ∂Ω. The proof of the main results is based to the sub-supersolutions method.
Keywords