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G. A. Afrouzi & Z. Valinejad, Nonexistence of result for some p-Laplacian Systems, The Journal of Mathematics and Computer Science Vol. 3 No. 2 (2011) 112-116.

has been cited by the following article:

Article

Existence and Nonexistence of Weak Positive Solution for Classes of 3 × 3 P-Laplacian Elliptic Systems

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 Publishing

Cite 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.com

Abstract

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