| Radial Symmetry of Positive Solutions for Polyharmonic Problems with Critical Growth |
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| 作者姓名： | 耿堤 |
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| 作者单位： | Department of Mathematics，Zhongshan University，Guangzhou 510275 |
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| 基金项目： | 广东省高校博士后科学研究经费资助 |
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| 摘 要： | 证明了一类含高阶调和算子的半线性椭圆型方程的正解都是径向对称的，由此得到显式表达．这些正解也是达到某类Ｓｏｂｏｌｅｖ最佳嵌入常数的极小元
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| 关 键 词： | 高阶调和算子，正解，临界指标，径向对称性 |
Radial Symmetry of Positive Solutions for Polyharmonic Problems with Critical Growth |
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| Geng Di.Radial Symmetry of Positive Solutions for Polyharmonic Problems with Critical Growth[J].Supplement to the Journal of Sun Yatsen University,1997(5). |
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| Authors: | Geng Di |
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| Abstract: | Radial symmetry of positive solutions for a semilinear elliptic equation of the plolyharmonic operator involving critical exponent are proved, their explicit expressions are get and they are also the minimizers for the best constant of some Sobolev embedding theorem. |
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| Keywords: | polyharmornic operator positive solutions critical exponents radial symmetry |
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