| Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equationsin R~n |
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| 引用本文： | 綦建刚,刘衍胜. Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equationsin R~n[J]. 数学季刊, 1998, 0(1) |
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| 作者姓名： | 綦建刚 刘衍胜 |
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| 作者单位： | Department of Mathematics，Shandong Normal University，Jinan，250014 |
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| 摘 要： | §１． ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｃｅｎｔｌｙ，ｔｈｅｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ△ｕ＋ｆ（ｕ）＝０（１．１）ｕ（ｘ）→０ａｓ｜ｘ｜→∞（１．２）ｉｎＲｎｗｅｒｅｃｏｎｓｉｄｅｒｅｄｗｉｄｅｌｙ（ｓｅｅ［１］－［７］）．Ｉｎｔｈｅｎｉｃｅｐａｐｅｒｓ［１］ａｎｄ［２］，ｉｔｗａｓｐｒｏｖｅｄｔｈａｔａｎｙｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｏｆ（１．１）ｍｕｓｔｂｅｒａｄｉａｌｉｎｃａｓｅｆ（ｕ）∈Ｃ１＋δ（δ＞０）．Ｔｈｅｒｅｆｏｒｅ，ａｎｙｐｏｓｉｔｉｖｅｓｏｌｕｔｉ…
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Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equations in R~n |
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| Qi Jiangang Liu Yansheng. Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equations in R~n[J]. Chinese Quarterly Journal of Mathematics, 1998, 0(1) |
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| Authors: | Qi Jiangang Liu Yansheng |
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| Abstract: | |
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| Keywords: | positive radial solution nodal solution asymptotic behavior semilinear elliptic equation |
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