This article concerns the existence of positive solutions of semilinear elliptic system
where is a bounded domain with a smooth boundary and is a positive parameter. are sign-changing functions. are continuous with , . By applying Leray-Schauder fixed point theorem, we establish the existence of positive solutions for sufficiently small.
Submitted September 13, 2011. Published December 13, 2011.
Math Subject Classifications: 35J45.
Key Words: Semilinear elliptic systems; indefinite weight; positive solutions; existence of solutions.
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| Ruipeng Chen |
Department of Mathematics
Northwest Normal University
Lanzhou, 730070, China
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