| ON THE EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASSOF DEGENERATE ELLIPTIC SYSTEMS |
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| 引用本文： | CHEN ZHENTAO(Department of Mathematics,Xiangtan University,Xiangtan 411105). ON THE EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASSOF DEGENERATE ELLIPTIC SYSTEMS[J]. 高校应用数学学报(英文版), 1994, 9(3): 231-236. DOI: 10.1007/BF02663772 |
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| 作者姓名： | CHEN ZHENTAO(Department of Mathematics Xiangtan University Xiangtan 411105) |
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| 作者单位： | Department of Mathematics，Xiangtan University，Xiangtan 411105 |
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| 摘 要： | ＯＮＴＨＥＥＸＩＳＴＥＮＣＥＡＮＤＵＮＩＱＵＥＮＥＳＳＯＦＰＯＳＩＴＩＶＥＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＤＥＧＥＮＥＲＡＴＥＥＬＬＩＰＴＩＣＳＹＳＴＥＭＳ￥ＣＨＥＮＺＨＥＮＴＡＯ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｘｉａｎｇｔ...
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| 收稿时间： | 1992-12-21 |
ON THE EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC SYSTEMS |
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| CHEN ZHENTAO. ON THE EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC SYSTEMS[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 9(3): 231-236. DOI: 10.1007/BF02663772 |
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| Authors: | CHEN ZHENTAO |
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| Affiliation: | (1) Department of Mathematics, Xiangtan University, 411105 Xiangtan |
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| Abstract: | In this paper we study a class of degenerate nonlinear elliptic systems with homogeneous Dirichlet boundary conditions by the monotone iteration method. The existence and uniqueness of the positive solution of such a system are proved.In particular,conditions which ensure that the iteration process converges to the unique solution are given. |
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| Keywords: | Degenerate elliptic system upper and lower solutions monotone iteration method. |
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