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POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS

Published online by Cambridge University Press:  09 August 2007

CHAOQUAN PENG  and
JIANFU YANG
CHAOQUAN PENG
Affiliation:
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O.Box 71010, Wuhan 430071, and Graduate School, Chinese Academy of Sciences, Beijing 100049, The People's Republic of China e-mail: [email protected]
JIANFU YANG
Affiliation:
Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, P.R. China e-mail: [email protected]
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Abstract

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In this paper, we show that the semilinear elliptic systems of the form(0.1) possess at least one positive solution pair (u, v) ∈ H 1 0(Ω) × H 1 0(Ω), where Ω is a smooth bounded domain in , f(x,t) and g(x, t) are continuous functions on and asymptotically linear at infinity.

Keywords

35J6035J65
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 377 - 390
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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