Publication Cover
Applicable Analysis
An International Journal
Volume 53, 1994 - Issue 1-2
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Original Articles

On symmetry in semi-linear elliptic systems with nonnegative solutions

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Pages 1-9 | Received 12 Dec 1991, Published online: 02 May 2007

References

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  • Agmon , S. , Douglis , A. and Nirenberg , L. 1959 . Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions . I. Cornm. Pure Appl. Math. , 12 : 623 – 727 .
  • Castro , A. and Shivaji , R. 1989 . Nonnegative solutions to a semilinear Dirichlet problem in a ball arc positive and radially symmetric . Comm. in PDEs, , 14 ( 8&9 ) : 1091 – 1100 .
  • Gidas , B. , Ni , W.M. and Nirenberg , L. 1979 . Symmetry and related properties via the maximum principle . Commun. Math. phvs , 68 : 209 – 243 .
  • Gilbarg , D. and Trudinger , N. S. 1883 . “ Elliptic Partial Differential Equations of Second Order ” . Springer-Verlag .
  • Hofer , H. 1982 . Variational and topological methods in partially ordered Hilbert space . Mathematische Annalen , 261 : 493 – 514 .
  • Rabinowitz , P.H. 1986 . Minimax Methods in Critical Point Theory with Applications to Differential Equations . Regional Conference Seriesin Mathematics , 65
  • Shaker , A. 1991 . On symmetry in elliptic systems . Applicable Analysis , 41 : 1 – 9 .

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