Publication Cover
Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 3
63
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

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

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

References

  • Atkinson , FV and Peletier , LA . 1986 . Emden-Fowler equations involving critical exponents . Nonlinear Anal. , 10 : 755 – 776 .
  • 1988 . Large solutions of elliptic equations involving critical exponents . Asymptotic Anal. , 1 : 139 – 160 .
  • 1987 . Elliptic equations with nearly critical growth . J. Diff. Equats. , 70 : 349 – 365 .
  • Brezis , H and Nirenberg , L . 1983 . Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents . Comm. Pure Appl. Math. , 36 : 437 – 477 .
  • Brezis , H and Peletier , LA . 1989 . “ Asymptotics for elliptic equations involving critical Sobolev exponents ” . In Partial Differential Equations and the Calculus of Variations , Edited by: Colombini , F . 149 – 192 . Basel : Birkhäuser .
  • Cao , D and Peng , S . 2003 . The asymptotic behavior of the ground state solutions for Hénon equation . J. Math. Anal. Appl. , 278 : 1 – 17 .
  • 2006 . Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth . Ann. Mat. Pura Appl. , 185 : 189 – 205 .
  • 2003 . A global compactness result for singular elliptic problems involving critical Sobolev exponent . Proc. Amer. Math. Soc. , 131 : 1857 – 1866 .
  • Gilbarg , D and Trudinger , NS . 1983 . Elliptic Partial Differential Equations of Second Order , 2nd , Vol. 224 , Berlin : Springer-Verlag .
  • Han , ZC . 1991 . Asymptotics approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponents . Ann. Inst. Henri Poincaré, Anal. Non Linéaire. , 2 : 159 – 174 .
  • Hulshof , J and Vander Vorst , RCAM . 1996 . Asymptotic behavior of ground states . Proc. Amer. Math. Soc. , 124 : 2423 – 2431 .
  • Mitidieri , E . 1993 . A Rellich type identity and applications . Comm. Partial Diff. Equats. , 18 : 125 – 151 .
  • Peletier , LA and Van Der Vorst , RCAM . 1992 . Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation . Diff. Integral Equats. , 4 : 747 – 767 .
  • Rey , O . 1989 . Proof of two conjectures of H. Brezis and L.A. Peletier . Manuscripta Math. , 65 : 19 – 37 .
  • Serrin , J and Zou , H . 1996 . Non-existence of positive solutions of Lane-Emden systems . Diff. Integral Equats. , 9 : 635 – 653 .
  • Troy , WC . 1981 . Symmetry properties in systems of semilinear elliptic equations . J. Diff. Equats. , 42 : 400 – 413 .
  • Zou , H . 1999 . Symmetry of ground states for a semilinear elliptic system . Trans. Amer. Math. Soc. , 3 : 1217 – 1245 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.