Positive solution for asymptotically linear elliptic systems |
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| Authors: | Chaoquan Peng Jianfu Yang |
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| Institution: | 1. Department of Mathematics, South‐Central University for Nationalities, Wuhan 430074, The People's Republic of China;2. Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, The People's Republic of China |
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| Abstract: | In this paper, we show that semilinear elliptic systems of the form  (1) possess at least one positive solution pair (u, v)∈H1(?N)×H1(?N), where λ and µ are nonnegative numbers, f(x, t) and g(x, t) are continuous functions on ?N×? and asymptotically linear as t→+∞. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | positive solution asymptotically linear elliptic system |
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