| 一类含位势Sobolev Hardy极值函数的估计 |
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| 引用本文： | 何少通,姚仰新.一类含位势Sobolev Hardy极值函数的估计[J].山东大学学报(理学版),2009,44(2):28-32. |
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| 作者姓名： | 何少通 姚仰新 |
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| 作者单位： | 华南理工大学理学院数学系,广东,广州,510640
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| 摘 要： | 研究了一类含位势Sobolev Hardy极值函数, 这类函数是相应的最佳位势Sobolev Hardy常数的达到函数。运用巧妙细致的分析方法, 对这一类极值函数进行了截断误差估计, 这些估计结果对于研究带有含Sobolev Hardy临界项的椭圆方程解的存在性具有重要意义。
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| 关 键 词： | 位势Sobolev Hardy极值函数 截断 Caffalelli Kohn Nirenberg 不等式 |
| 收稿时间： | 2008-11-01 |
Estimates on the extremal weighted Sobolev-Hardy functions |
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| HE Shao-tong,YAO Yang-xin.Estimates on the extremal weighted Sobolev-Hardy functions[J].Journal of Shandong University,2009,44(2):28-32. |
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| Authors: | HE Shao-tong YAO Yang-xin |
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| Institution: | School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, Guangdong, China |
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| Abstract: | A kind of extremal weighted Sobolev-Hardy functions by which the best Sobolev-Hardy constants can be achieved was discussed.By delicate analytic methods,the cutting-off error estimates were obtained.They play an important role in the study of elliptic problems with critical Sobolev-Hardy exponents. |
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| Keywords: | extremal weighted Sobolev-Hardy functions cut-off Caffalelli-Kohn-Nirenberg inequality |
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