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Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 1
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Original Articles

Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents

Z. Liu School of Mathematics and Computer Science, Central University for Nationalities, Beijing 100081, P.R. ChinaCorrespondence[email protected]
&
P. Han Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P.R. China
Pages 67-82 | Received 28 Apr 2006, Accepted 25 Oct 2006, Published online: 10 Apr 2007

References

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  • Atkinson , FV and Peletier , LA . 1986 . Emden- Fowler equations involving critical exponents . Nonlinear Analysis , 10 : 755 – 776 .
  • Atkinson , FV and Peletier , LA . 1988 . Large solutions of elliptic equations involving critical exponents . Asymptotic Analysis , 1 : 139 – 160 .
  • Atkinson , FV and Peletier , LA . 1987 . Elliptic equations with nearly critical growth . Journal of Differential Equations , 70 : 349 – 365 .
  • Brezis , H and Peletier , LA . 1989 . “ Partial Differential Equations and the Calculus of Variations ” . In Asymptotics for elliptic equations involving critical Sobolev exponents , Edited by: Colombini , F , Marino , A , Modica , L and Spagnolo , S . 149 – 192 . Basel: Birkhäuser .
  • Caffarelli , Gidas , L and Spruck , J . 1989 . Asymptotic symmetry and local behavior of semilinear elliptic equations with critical growth . Communications on Pure and Applied Mathematics , 42 : 271 – 297 .
  • Han , ZC . 1991 . Asymptotics approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponents . Annales de l'Institut Henri Poincaré. Analyse Non Linéaire , 2 : 159 – 174 .
  • Rey , O . 1989 . Proof of two conjectures of H. Brezis and L. A. Peletier . Manuscripta Mathematics , 65 : 19 – 37 .

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