Eada A. El-Zahrani, Hassan M. Serag
In this paper, we consider the nonlinear elliptic system
on a bounded and unbounded domains of , where denotes the p-Laplacian. The existence of weak solutions for these systems is proved using the theory of monotone operators
Submitted February 9, 2006. Published July 6, 2006.
Math Subject Classifications: 35B45, 35J55.
Key Words: Weak solutions; nonlinear elliptic systems; p-Laplacian; monotone operators.
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| Eada A. El-Zahrani |
Mathematics Department, Faculty of Science for Girls
Dammam, P. O. Box 838, Pincode 31113, Saudi Arabia
| Hassan M. Serag |
Faculty of Science, Al-Azhar University
Nasr City (11884), Cairo, Egypt
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