Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 451-458.

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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

 ZHONG Jin-Biao, CHEN Zu-Chi   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • Online:2002-10-14 Published:2002-10-14
  • Supported by:

    The project supported by NNSF of China (10071080)

Abstract:

In this paper an existence and uniqueness theorem of positive solutions to a class of semilinear elliptic systems is proved. Also, a necessary condition for the existence of the positive solution is obtained. As the application of the main theorem, two examples are given.

Key words: Positive solution, semilinear elliptic system, compact and positive operator

CLC Number: 

  • 35A05
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