| 一类含Caffarem-Kohn-Nirenberg不等式的奇异椭圆型方程正解的存在性 |
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| 引用本文： | 彭艳芳.一类含Caffarem-Kohn-Nirenberg不等式的奇异椭圆型方程正解的存在性[J].数学理论与应用,2012(2):20-25. |
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| 作者姓名： | 彭艳芳 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院 |
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| 基金项目： | 贵州省科学技术基金(黔科合J字LKS[2011]15号) |
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| 摘 要： | 本文研究一类带奇异项及临界指数的方程 利用纤维方法证明方程在满足一定条件下正解的存在性．
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| 关 键 词： | 纤维方法 奇异 Catfarelli-Kohn-Nirenberg不等式 |
Existence of a Positive solution for a Singular Elliptic Equation Involving Caffarelli-Kohn-Nirenberg Inequalities |
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| Peng Yanfang.Existence of a Positive solution for a Singular Elliptic Equation Involving Caffarelli-Kohn-Nirenberg Inequalities[J].Mathematical Theory and Applications,2012(2):20-25. |
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| Authors: | Peng Yanfang |
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| Institution: | Peng Yanfang(Department of Mathematical and Computer Science,Guizhou Normal University,Guiyang 550001,Guizhou,China) |
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| Abstract: | In this paper,we study the following singular elliptic equation with critical exponent -div(|x|-2a▽u)-μ(u/(|x|2(1+a)))=(|u|p-2u)/|x|bp +λu/(|x|dD).Under some conditions,the existence of a positive solution to the equation is showed by applying the fibering method. |
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| Keywords: | Fibering Method Singular Caffarelli-Kohn-Nirenberg Inequality |
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