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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 3
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Original Articles

Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure

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Pages 363-376 | Received 02 Jul 2007, Accepted 16 Jan 2008, Published online: 19 Mar 2008
 

Abstract

In this article, we study the asymptotic behaviour of positive solutions to the Hamiltonian elliptic systems −Δv = u p−ϵ, −Δu = v q−δ in Ω; u, v > 0 in Ω; u = v = 0 on ∂Ω, where Ω is a unit ball in R N (N ≥ 3) centered at the origin; . The solutions are shown to blow up at exactly the origin. The exact rate of blowing up is also given.

Acknowledgements

The second author is partially supported by the Key Project of the National Natural Science Foundation (No. 10631030) and the Special Excellent Dissertation Fund of the Chinese Academy of Sciences, China.

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