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Multiple positive solutions for a critical elliptic system with concave—convex nonlinearities

Published online by Cambridge University Press:  04 November 2009

Tsing-San Hsu  and
Huei-Li Lin
Tsing-San Hsu
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, ([email protected])
Huei-Li Lin
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, ([email protected])
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Abstract

We consider a semilinear elliptic system with both concave—convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1163 - 1177
Copyright
Copyright © Royal Society of Edinburgh 2009

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