By the method of monotone iteration and Schauder fixed point theorem, we prove the existence of non-negative solutions to the system
for sufficiently small, where is a bounded domain in with smooth boundary and is a positive parameter. In this work, we allow the sign changing nature of a and b with .
Submitted July 19, 2011. Published November 10, 2011.
Math Subject Classifications: 35J45, 35J55.
Key Words: Elliptic system; non-negative solution; existence.
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| Jagmohan Tyagi |
Indian Institute of Technology Gandhinagar
Vishwakarma Government Engineering College Complex
Chandkheda, Visat-Gandhinagar Highway, Ahmedabad
Gujarat, India - 382424
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