| 关于双调和算子非线性基本方程正解的径向对称性 |
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| 引用本文： | 薛亚芬,耿堤.关于双调和算子非线性基本方程正解的径向对称性[J].数学杂志,1998,18(3):271-275. |
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| 作者姓名： | 薛亚芬 耿堤 |
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| 作者单位： | 宁夏广播电视大学，中山大学 |
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| 摘 要： | 本文证明了双调和算子非线性基本方程的正解都是径向对称的，这些正解也是达到某类Ｓｏｂｏｌｅｖ最佳嵌入常数的采小元。
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| 关 键 词： | 双调和算子 正解 径向对称性 非线性方程 |
ON RADIAL SYMMETRY OF POSITIVE SOLUTIONSFOR A NONLINEAR BIHARMONIC EQUATION |
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| Xue Yafen.ON RADIAL SYMMETRY OF POSITIVE SOLUTIONSFOR A NONLINEAR BIHARMONIC EQUATION[J].Journal of Mathematics,1998,18(3):271-275. |
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| Authors: | Xue Yafen |
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| Abstract: | In the paper radial symmetry of positive solutions for a nonlinear basic equation of the biharmonic opera- tor involving critical exponent are proved, those positive solutions are also the minimizers for the best con- stant of some Sobolev embedding theorein. |
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| Keywords: | biharmonic operator positive solutions radial symmetry |
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