Positive solutions for critical elliptic systems in non-contractible domains

Haiyang He; Jianfu Yang

doi:10.3934/cpaa.2008.7.1109

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2008, Volume 7, Issue 5: 1109-1122. Doi: 10.3934/cpaa.2008.7.1109

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Positive solutions for critical elliptic systems in non-contractible domains

Haiyang He^1, and
Jianfu Yang^2,

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

Received: October 2007

Revised: April 2008

Published: September 2008

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Abstract

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.

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Mathematics Subject Classification: Primary: 35J50; Secondary: 35J60.

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