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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
作者姓名:钟金标  陈祖墀
作者单位:Zhong Jinbiao Chen ZuchiDepartment of Mathematics,University of Science and Technology of China,Hefei 230026,China
基金项目:The project supported by NNSF of China(10071080)
摘    要: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.


EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
Zhong Jinbiao,Chen Zuchi.EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS[J].Acta Mathematica Scientia,2002,22(4).
Authors:Zhong Jinbiao  Chen Zuchi
Institution:Zhong Jinbiao Chen ZuchiDepartment of Mathematics,University of Science and Technology of China,Hefei 230026,China
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.
Keywords:Positive solution  semilinear elliptic system  compact and positive operator
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