Electronic Journal of Differential Equations Electron. J. Diff. Equ., Vol. 2011 (2011), No. 164, pp. 1-8.
Existence of positive solutions for semilinear elliptic systems with indefinite weight
Ruipeng Chen
Abstract: 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 email: ruipengchen@126.com |
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