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EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS 被引量:4

EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
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摘要 In this paper an existence theorem of positive radial solutions to a class of semilinear elliptic systems is proved by the Leray-Schauder degree theorem. Also, a nonexistence theorem is obtained. As an application of the main theorem, an example is given. In this paper an existence theorem of positive radial solutions to a class ofsemilinear elliptic systems is proved by the Leray-Schauder degree theorem. Also, a nonexistencetheorem is obtained. As an application of the main theorem, an example is given.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2004年第3期325-331,共7页 系统科学与复杂性学报(英文版)
基金 This research is supported by the National Natural Science Foundation of China (No.10371116 and 10101024).
关键词 半线性椭圆系统 正径向解 不存在性 LERAY-SCHAUDER度 完全连续算子 leray-schauder degree positive radial solution completely continuousoperator
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