Acta mathematica scientia,Series B ›› 1987, Vol. 7 ›› Issue (3): 299-309.

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NONEXISTENCE RESULTS AND EXISTENCE THEOREMS OF POSITIVE SOLUTIONS OF DIRICHLET PROBLEMS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER

Chen Baoyao   

  1. Department of Mathematics, Zhongshan University
  • Received:1986-01-20 Online:1987-09-25 Published:1987-09-25
  • Supported by:
    This work is supported in part by the Foundation of Zhongshan University, Advanced Research Center.

Abstract: We consider the following boundary problem of semilinear elliptic systems:
(A) -△ul=fl(u1,u2,…,uN)+λul, ul > 0 in Ω, ul on ∂Ω.

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