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Existence of positive solutions for nonlocal and nonvariational elliptic systems

Published online by Cambridge University Press:  17 April 2009

Yujuan Chen  and
Hongjun Gao
Yujuan Chen
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, Peoples Republic of China
Hongjun Gao
Affiliation:
Department of Mathematics, Nantong University, Nantong 226007, Peoples Republic of China e-mail: nttccyj@ntu.edu.cn
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In the paper we prove a result on the existence of positive solutions for a class of nonvariational elliptic system with nonlocal source by Galerkin methods and a fixed point theorem in finite dimensions. We establish another existence result by the super and subsolution method and a monotone iteration.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 271 - 281
Copyright
Copyright © Australian Mathematical Society 2005

References

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