# American Institute of Mathematical Sciences

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On the global branch of positive radial solutions of an elliptic problem with singular nonlinearity
September  2008, 7(5): 1109-1122. doi: 10.3934/cpaa.2008.7.1109

## Positive solutions for critical elliptic systems in non-contractible domains

 1 Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, China 2 Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, China

Received  October 2007 Revised  April 2008 Published  June 2008

In this paper, we consider the existence of solutions for a critical elliptic system. We show that the problem possesses at least a high energy positive solution in non-contractible domains.
Citation: Haiyang He, Jianfu Yang. Positive solutions for critical elliptic systems in non-contractible domains. Communications on Pure & Applied Analysis, 2008, 7 (5) : 1109-1122. doi: 10.3934/cpaa.2008.7.1109
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