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Decaying positive solutions to a system of nonlinear elliptic equations

Published online by Cambridge University Press:  12 July 2007

Fenfei Chen  and
Miaoxin Yao
Fenfei Chen
Affiliation:
Department of Mathematics, School of Science, Tianjin University and Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University Tianjin 300072, People's Republic of China (mmxxyao@eyou.com)
Miaoxin Yao
Affiliation:
Department of Mathematics, School of Science, Tianjin University and Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University Tianjin 300072, People's Republic of China (mmxxyao@eyou.com)
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Abstract

In this paper, the second-order nonlinear elliptic system with α, γ < 1 and β ≥ 1, is considered in RN, N ≥ 3. Under suitable hypotheses on functions fi, gi, hi (i = 1, 2) and P, it is shown that this system possesses an entire positive solution , 0 < θ < 1, such that both u and v are bounded below and above by constant multiples of |x|2−N for all |x| ≥ 1.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 2 , April 2006 , pp. 301 - 320
Copyright
Copyright © Royal Society of Edinburgh 2006

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