Hassan M. Serag, Eada A. El-Zahrani
In this paper, we study the following non-linear system on
where with and is the ``p-Laplacian", , , and are given functions. We obtain necessary and sufficient conditions for having a maximum principle; then we use an approximation method to prove the existence of positive solution for this system.
Submitted May 19, 2005. Published July 27, 2005.
Math Subject Classifications:
Key Words: aximum principle; nonlinear elliptic systems; -Laplacian; sub and super solutions.
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| Hassan M. Serag |
Mathematics Department, Faculty of Science
Nasr City (11884), Cairo, Egypt
| Eada A. El-Zahrani |
Mathematics Department, Faculty of Science for Girls
Dammam, P. O. Box 838, Pincode 31113, Saudi Arabia
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